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 A275198 Triangle, read by rows, formed by reading Pascal's triangle (A007318) mod 14. 13
 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 1, 6, 1, 6, 1, 1, 7, 7, 7, 7, 7, 7, 1, 1, 8, 0, 0, 0, 0, 0, 8, 1, 1, 9, 8, 0, 0, 0, 0, 8, 9, 1, 1, 10, 3, 8, 0, 0, 0, 8, 3, 10, 1, 1, 11, 13, 11, 8, 0, 0, 8, 11, 13, 11, 1, 1, 12, 10, 10, 5, 8, 0, 8, 5, 10, 10, 12, 1, 1, 13, 8, 6, 1, 13, 8, 8, 13, 1, 6, 8, 13, 1, 1, 0, 7, 0, 7, 0, 7, 2, 7, 0, 7, 0, 7, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Ilya Gutkovskiy, Illustrations (triangle formed by reading Pascal's triangle mod m) FORMULA T(n, k) = binomial(n, k) mod 14. a(n) = A070696(A007318(n)). EXAMPLE Triangle begins:                       1,                     1,  1,                   1,  2,  1,                 1,  3,  3,  1,               1,  4,  6,  4,  1,             1,  5, 10, 10,  5,  1,           1,  6,  1,  6,  1,  6,  1,         1,  7,  7,  7,  7,  7,  7,  1,       1,  8,  0,  0,  0,  0,  0,  8,  1,     1,  9,  8,  0,  0,  0,  0,  8,  9,  1,   1, 10,  3,  8,  0,  0,  0,  8,  3, 10,  1,   ... MATHEMATICA Mod[Flatten[Table[Binomial[n, k], {n, 0, 14}, {k, 0, n}]], 14] CROSSREFS Cf. A007318, A070696. 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), (this sequence) (m = 14), A034932 (m = 16). Sequence in context: A214846 A061676 A180182 * A095145 A095144 A339359 Adjacent sequences:  A275195 A275196 A275197 * A275199 A275200 A275201 KEYWORD nonn,tabl AUTHOR Ilya Gutkovskiy, Aug 11 2016 STATUS approved

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Last modified August 13 18:00 EDT 2022. Contains 356107 sequences. (Running on oeis4.)