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Search: id:A161201
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| A161201 |
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Numerators in expansion of (1-x)^(-7/2) |
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+0
6
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| 1, 7, 63, 231, 3003, 9009, 51051, 138567, 2909907, 7436429, 37182145, 91265265, 882230895, 2103781365, 9917826435, 23141595015, 856239015555, 1964313035685, 8948537162565, 20251952525805, 182267572732245
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = numer(((15+46*n+36*n^2+8*n^3)/15)*binomial(2*n,n)/(4^n))
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CROSSREFS
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Cf. A001790 [(1-x)^(-1/2)], A001803 [(1-x)^(-3/2)] and A161199 [(1-x)^(-5/2)].
Cf. A161202 numerators in expansion of (1-x)^(5/2).
A161198 triangle related to the series expansions of (1-x)^((-1-2*n)/2) for all values of n.
A046161 gives the denominators of the series expansions of (1-x)^(-7/2).
Sequence in context: A060005 A055066 A167550 this_sequence A007291 A055405 A100741
Adjacent sequences: A161198 A161199 A161200 this_sequence A161202 A161203 A161204
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KEYWORD
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easy,nonn
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AUTHOR
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Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 2009
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