A161201 - OEIS

This site is supported by donations to The OEIS Foundation.

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 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..20.`
	FORMULA	`a(n) = numer(((15+46n+36n^2+8n^3)/15)binomial(2*n,n)/(4^n))`
	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)^((-1-2n)/2) for all values of n.` `A046161 gives the denominators of the series expansions of (1-x)^(-7/2).` `Sequence in context: A055066 A216534 A167550 A007291 A188226 A055405` `Adjacent sequences: A161198 A161199 A161200 * A161202 A161203 A161204`
	KEYWORD	`easy,nonn,frac`
	AUTHOR	`Johannes W. Meijer, Jun 08 2009`
	STATUS	`approved`

Content is available under The OEIS End-User License Agreement .

Last modified May 26 02:46 EDT 2013. Contains 225653 sequences.