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A095143 Triangle formed by reading Pascal's triangle (A007318) mod 9. 18
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 1, 1, 5, 1, 1, 6, 6, 2, 6, 6, 1, 1, 7, 3, 8, 8, 3, 7, 1, 1, 8, 1, 2, 7, 2, 1, 8, 1, 1, 0, 0, 3, 0, 0, 3, 0, 0, 1, 1, 1, 0, 3, 3, 0, 3, 3, 0, 1, 1, 1, 2, 1, 3, 6, 3, 3, 6, 3, 1, 2, 1, 1, 3, 3, 4, 0, 0, 6, 0, 0, 4, 3, 3, 1, 1, 4, 6, 7, 4, 0, 6, 6, 0, 4, 7, 6, 4, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..104.

James G. Huard; Blair K. Spearman; Kenneth S. Williams, Pascal's triangle (mod 9), Acta Arithmetica (1997), Volume: 78, Issue: 4, page 331-349.

FORMULA

T(i, j) = binomial(i, j) (mod 9).

EXAMPLE

Triangle begins:

1;

1, 1;

1, 2, 1;

1, 3, 3, 1;

1, 4, 6, 4, 1;

1, 5, 1, 1, 5, 1;

1, 6, 6, 2, 6, 6, 1;

...

MATHEMATICA

Mod[ Flatten[ Table[ Binomial[n, k], {n, 0, 13}, {k, 0, n}]], 9]

CROSSREFS

Cf. A007318, A047999, A083093, A034931, A095140, A095141, A095142, A034930, A008975, A095144, A095145, A034932.

Sequences based on the triangles formed by reading Pascal's triangle mod m: A047999 (m = 2), A083093 (m = 3), A034931 (m = 4), A095140 (m = 5), A095141 (m = 6), A095142 (m = 7), A034930 (m = 8), A095143 (m = 9), A008975 (m = 10), A095144 (m = 11), A095145 (m = 12), A275198 (m = 14), A034932 (m = 16).

Sequence in context: A140280 A140586 A339379 * A242312 A140279 A096145

Adjacent sequences:  A095140 A095141 A095142 * A095144 A095145 A095146

KEYWORD

easy,nonn,tabl

AUTHOR

Robert G. Wilson v, May 29 2004

STATUS

approved

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Last modified October 22 13:15 EDT 2021. Contains 348170 sequences. (Running on oeis4.)