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A014421
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Odd elements in Pascal's triangle.
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7
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1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 5, 5, 1, 1, 15, 15, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 1, 1, 9, 9, 1, 1, 45, 45, 1, 1, 11, 55, 165, 165, 55, 11, 1, 1, 495, 495, 1, 1, 13, 715, 1287, 1287, 715, 13, 1, 1, 91, 1001, 3003, 3003, 1001, 91, 1, 1, 15, 105, 455, 1365, 3003, 5005
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OFFSET
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0,7
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COMMENTS
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LINKS
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EXAMPLE
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Triangle starts:
1;
1, 1;
1, 1;
1, 3, 3, 1;
1, 1;
1, 5, 5, 1;
1, 15, 15, 1;
1, 7, 21, 35, 35, 21, 7, 1;
...
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MAPLE
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select(type, [seq(seq(binomial(n, k), k=0..n), n=0..20)], odd); # Robert Israel, Jan 11 2016
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MATHEMATICA
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Select[ Flatten[ Table[ Binomial[ n, i ], {n, 0, 20}, {i, 0, n} ] ], OddQ ]
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PROG
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(PARI) tabf(nn) = {for (n=0, nn, for (k=0, n, b = binomial(n, k); if (b % 2, print1(b, ", "))); print(); ); } \\ Michel Marcus, Jan 11 2016
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CROSSREFS
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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