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A275198
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Triangle, read by rows, formed by reading Pascal's triangle (A007318) mod 14.
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13
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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
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OFFSET
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0,5
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LINKS
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FORMULA
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T(n, k) = binomial(n, k) mod 14.
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EXAMPLE
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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,
...
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MATHEMATICA
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Mod[Flatten[Table[Binomial[n, k], {n, 0, 14}, {k, 0, n}]], 14]
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CROSSREFS
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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).
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KEYWORD
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AUTHOR
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STATUS
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approved
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