Pascal's Triangle - Images

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Pascal's Triangle

圓方棄七法古
圓方棄七法古

Pascal's Triangle

1 2 1 1 4 6 4 1 1 5 10 10 5 1
1 2 1 1 4 6 4 1 1 5 10 10 5 1

Pascal's Triangle

Fibonacci numbers in Pascal's Triangle

2 5 4 8 13 21 34 16 55 89 32 144 233 64 377 610 128 987 1597 256 2584 4181 126 126 84 36 6765 10946 512 1024110A 120 210 252 210120 017711 28657 2048 1 46368 75025 4096
2 5 4 8 13 21 34 16 55 89 32 144 233 64 377 610 128 987 1597 256 2584 4181 126 126 84 36 6765 10946 512 1024110A 120 210 252 210120 017711 28657 2048 1 46368 75025 4096

Pascal's Triangle
fibonacci numbers pascal's triangle number theory

Color: Mod 3


Pascal's Triangle
mathematics fractal

Color: Mod 4


Pascal's Triangle
mathematics fractal

Color: Mod 5


Pascal's Triangle
mathematics fractal

FIGURE 1 © 1990 by Jim Nugent
FIGURE 1 © 1990 by Jim Nugent

Pascal's Triangle

FIGURE 2 © 1990 by Jim Nugent 15 20 15
FIGURE 2 © 1990 by Jim Nugent 15 20 15

Pascal's Triangle


Pascal's Triangle

g! GRangJperpondiala.res 3 2 1
g! GRangJperpondiala.res 3 2 1

Pascal's Triangle

12 1 1 3 3 1 1 4 6 41 15 10 10 5 1 1 6 15 20 15 6 17 21 35) 35 21 71 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 10 111 55 165 330 462 462 330 165 55 111 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 110 12870 11440 8008 4368 1820 560 120 16
12 1 1 3 3 1 1 4 6 41 15 10 10 5 1 1 6 15 20 15 6 17 21 35) 35 21 71 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 10 111 55 165 330 462 462 330 165 55 111 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 110 12870 11440 8008 4368 1820 560 120 16

Pascal's Triangle

Counting Numbers Triangular Numbers 1 33 1 14 6 4 1 115110110 51 7121|3313521|1 1 6 15 20 15 6 1
Counting Numbers Triangular Numbers 1 33 1 14 6 4 1 115110110 51 7121|3313521|1 1 6 15 20 15 6 1

Pascal's Triangle

13 31 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 61 1 7 21 35 35 21 71 1 8 28 56 70 56 28 81 1 9 36 84 126 126 84 36 91 1 10 45 120 210 252 210 120 45 10 1 1 11 55 165 330 462 462 330 165 55 111 1 12 66 220 495 792 924 792 495 220 66 12 1 1 13 78 286 715 1287 1716 1716 1287 715 286 78 131 1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1 101511051455113651300315005154351643515005130031136514551105 150 1 16 120 560 1820 4368 8008 11440 128701140 8008 4368 1820 560 120 16 1
13 31 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 61 1 7 21 35 35 21 71 1 8 28 56 70 56 28 81 1 9 36 84 126 126 84 36 91 1 10 45 120 210 252 210 120 45 10 1 1 11 55 165 330 462 462 330 165 55 111 1 12 66 220 495 792 924 792 495 220 66 12 1 1 13 78 286 715 1287 1716 1716 1287 715 286 78 131 1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1 101511051455113651300315005154351643515005130031136514551105 150 1 16 120 560 1820 4368 8008 11440 128701140 8008 4368 1820 560 120 16 1

Pascal's Triangle