Pascal's Triangle

[Georgelemmons]

This image shows how it works, but we'll be making a (hopefully) much larger version. If anyone cares, an easy way to figure out what row we're on is to add 1 to the second number in.

To check your row, add up every single number (yes this sucks) and the sum should equal two to the power of the second number in the row. (formula - where n = row number, 2^n-1 = sum of all numbers in n).

 

 

I'll start us off. (Please use center tags for the numbers)

1

[Shelby_Polo]

1 1

[Georgelemmons]

1

11

121

 

Eventually we'll need to stop showing the whole pyramid

[Othelbark]

1

11

121

1331

[Georgelemmons]

1

11

121

1331

14641

[Gandalf14141]

1

11

121

1331

14641

15101051

[Georgelemmons]

Which looks better? I like spaces.

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

 

1

1.1

1.2.1

1.3.1

1.4.6.4.1

1.5.10.10.5.1

1.6.15.20.15.6.1

[Napalm]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

 

 

Spaces all the way

[Gandorf61]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

 

This is a cool idea for a game.

[Dax]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

[K4ylan]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

Got sniped by Dax

[Napalm]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

[Georgelemmons]

We're breaking 1000 next post! :smile:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

[Zaaps1]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

 

May I break your 1000s

[Georgelemmons]

They have been broken, along with the two and three thousands. Methinks this is going to be insane by the start of the third page.

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

[Gandorf61]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

 

It's getting insane already! :S

[Napalm]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

 

It's gonna be troublesome when one line of the triangle takes more than one line of the forum.

[Georgelemmons]

I think it just goes out in a line, but editing may be harder. 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

 

 

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

[K4ylan]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

1 18 153 816 2860 8201 18562 31923 41866 41866 31923 18562 8201 2860 816 153 18 1

I think someone's going to mess their math up at some point

[Dax]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

1 18 153 816 2860 8201 18562 31923 41866 41866 31923 18562 8201 2860 816 153 18 1

1 19 171 969 3676 11061 26763 50485 73789 83732 73789 50485 26763 11061 3676 969 171 19 1

 

I think I'm going to leave ye, this is getting insane.

[M21112]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

1 18 153 816 2860 8201 18562 31923 41866 41866 31923 18562 8201 2860 816 153 18 1

1 19 171 969 3676 11061 26763 50485 73789 83732 73789 50485 26763 11061 3676 969 171 19 1

1 20 190 1140 4645 14698 37824 77248 124274 157521 124274 77248 37824 14698 4645 1140 190 20 1

[Georgelemmons]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

1 18 153 816 2860 8201 18562 31923 41866 41866 31923 18562 8201 2860 816 153 18 1

1 19 171 969 3676 11061 26763 50485 73789 83732 73789 50485 26763 11061 3676 969 171 19 1

1 20 190 1140 4645 14698 37824 77248 124274 157521 124274 77248 37824 14698 4645 1140 190 20 1

1 21 210 1330 5785 19343 52522 115072 201522 281795 281795 201522 115072 52522 19343 5785 1339 210 21 1

[K4ylan]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

1 18 153 816 2860 8201 18562 31923 41866 41866 31923 18562 8201 2860 816 153 18 1

1 19 171 969 3676 11061 26763 50485 73789 83732 73789 50485 26763 11061 3676 969 171 19 1

1 20 190 1140 4645 14698 37824 77248 124274 157521 124274 77248 37824 14698 4645 1140 190 20 1

1 21 210 1330 5785 19343 52522 115072 201522 281795 281795 201522 115072 52522 19343 5785 1339 210 21 1

1 22 231 1540 7115 25128 71865 167594 316594 483317 563590 483317 316594 167594 71865 25128 7115 1540 231 22 1

[SeanyTheSailor]

 

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 825 924 825 495 220 66 12 1

1 13 78 286 715 1320 1749 1320 715 286 78 13 1

1 14 91 364 1001 2035 3069 3069 2035 1001 364 91 14 1

1 15 105 455 1365 3036 5104 6138 5104 3036 1365 455 105 15 1

1 16 120 560 1620 4401 8140 11242 11242 8140 4401 1620 560 120 16 1

1 17 136 680 2180 6021 12541 19382 22484 19382 12541 6012 2180 680 136 17 1

1 18 153 816 2860 8201 18562 31923 41866 41866 31923 18562 8201 2860 816 153 18 1

1 19 171 969 3676 11061 26763 50485 73789 83732 73789 50485 26763 11061 3676 969 171 19 1

1 20 190 1140 4645 14698 37824 77248 124274 157521 124274 77248 37824 14698 4645 1140 190 20 1

1 21 210 1330 5785 19343 52522 115072 201522 281795 281795 201522 115072 52522 19343 5785 1339 210 21 1

1 22 231 1540 7115 25128 71865 167594 316594 483317 563590 483317 316594 167594 71865 25128 7115 1540 231 22 1

1 23 253 1771 8655 32243 96993 239459 484188 799911 1046907 799911 484188 239459 96993 32243 8655 1771 253 23 1

[Georgelemmons]

We've (nevermind, traced it back to my post) already managed to screw some stuff up. I'm going to see if I can fix this post (nobody post while I'm doing this - you'll just be wrong).

 

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

1 16 120 560 1820 4368 8008 11440 12870 11440 8008 4368 1820 560 120 16 1

1 17 136 680 2380 6188 12376 19448 24310 24310 19448 12376 6188 2380 680 136 17 1

1 18 153 816 3060 8568 18564 31824 43758 48620 43758 31824 18564 8568 3060 816 153 18 1

1 19 171 969 3876 11628 27132 50388 75582 92378 92378 75582 50388 27132 11628 3876 969 171 19 1

1 20 190 1140 4845 15504 38760 77520 125970 167960 184756 167960 125970 77520 38760 15504 4845 1140 190 20 1

1 21 210 1330 5985 20349 54264 116280 203490 293930 352716 352616 293930 203490 116280 54264 20349 5985 1339 210 21 1

1 22 231 1540 7315 26334 74613 170544 319770 497420 646646 705432 646646 497420 319770 170544 74613 26344 7315 1540 231 22 1