20 row Pascal triangle?

Question

How do you draw a 20 row pascal triangle

Answer 1

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

Answer 2

The top row is 1. The second row is 1 1. Arrange these in an equilateral triangle. Now, to continue, each new row starts and ends with 1. Otherwise, to get any number in any row, just add the two numbers diagonally above to the left and to the right. You can also get the i-th number in the j-th row by calculating the combination of j items taken i at a time. If you know what factorials are, you can calculate the 20-th row by computing
20! / (0!20!), 20! / (1!19!), 20!/(2!18!), and so on. (By 20!, I mean 20 factorial.) If you're not sure what this means, just look up combinatorics on the Internet.

Answer 3

and in a spreadsheet it looks like this

https://goo.gl/aPf2AM

Excel in Google Sheet
row0 to row30

now more can know

Answer 4

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

ok - enough - you get the idea