A161201 Numerators in expansion of (1-x)^(-7/2)

1, 7, 63, 231, 3003, 9009, 51051, 138567, 2909907, 7436429, 37182145, 91265265, 882230895, 2103781365, 9917826435, 23141595015, 856239015555, 1964313035685, 8948537162565, 20251952525805, 182267572732245

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = numer(((15+46*n+36*n^2+8*n^3)/15)*binomial(2*n,n)/(4^n))

Mathematica

CoefficientList[Series[(1-x)^(-7/2), {x, 0, 20}], x]//Numerator (* Harvey P. Dale, Jan 14 2020 *)

Crossrefs

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: A216534 A167550 A304895 * A007291 A343137 A188226

Adjacent sequences: A161198 A161199 A161200 * A161202 A161203 A161204

Keyword

easy,nonn,frac

Author

Johannes W. Meijer, Jun 08 2009

Status

approved