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Search: id:A075837
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| A075837 |
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Triangle T(n,k) = f(n,k,n-2), n >= 0, 0 <= k <= n, where f is given below. |
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+0
4
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| 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 12, 14, 12, 1, 1, 30, 45, 45, 30, 1, 1, 60, 114, 138, 114, 60, 1, 1, 105, 245, 357, 357, 245, 105, 1, 1, 168, 468, 808, 960, 808, 468, 168, 1, 1, 252, 819, 1647, 2286, 2286, 1647, 819, 252, 1, 1, 360, 1340, 3090, 4935, 5740, 4935, 3090, 1340, 360, 1, 1, 495, 2079, 5423, 9834, 13090, 13090, 9834, 5423
(list; table; graph; listen)
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OFFSET
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1,8
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LINKS
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Michel Lassalle, A new family of positive integers
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FORMULA
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f(n, p, k) = binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1).
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EXAMPLE
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1; 1,1; 1,0,1; 1,3,3,1; ...
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MAPLE
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f := proc(n, p, k) convert( binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1), `StandardFunctions`); end;
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CROSSREFS
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Cf. A014410 and A007318 for f(n,k,n), A075779 and A075798 for f(n,k,n-1) and A075780 and A075837 for f(n,k,n-2).
Sequence in context: A101842 A099037 A104378 this_sequence A087107 A126460 A100940
Adjacent sequences: A075834 A075835 A075836 this_sequence A075838 A075839 A075840
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KEYWORD
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nonn,tabl
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AUTHOR
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njas, Oct 17 2002
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