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Level 322

Pascal's Triangle


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Patterns in Pascal's Triangle
Outer diagonals are 1s
Row Sums
2 to the power of n
Recursive Formula
t r,p = t r-1,p-1 + t r-1,p
t7,3
Find Value
1
1st line
1 1
2nd line
3rd line
1 2 1
4th line
1 3 3 1
5th line
1 4 6 4 1
6th line
1 5 10 10 5 1
7th line
1 6 15 20 25 6 1
8th line
1 7 21 35 35 21 7 1
9th line
1 8 28 56 70 56 28 8 1
10th line
1 9 36 84 126 126 84 36 9 1
11th line
1 10 45 120 210 252 210 120 45 10 1
12th line
1 11 55 165 330 462 462 330 165 55 11 1
13th line
1 12 66 220 495 792 924 792 495 220 66 12 1
14th line
1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1
15th line
1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1
1
row 0
row 2
1 2 1
row 3
1 3 3 1
row 4
1 4 6 4 1
row 5
1 5 10 10 5 1
row 6
1 6 15 20 15 6 1
row 7
1 7 21 35 35 21 7 1
n=0
1
n=1
1 1
n=2
1 2 1
n=3
1 3 3 1
n=4
1 4 6 4 1
n=5
1 5 10 10 5 1
n=6
1 6 15 20 15 6 1
n=7
1 7 21 35 35 21 7 1