A167576 - OEIS

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A167576

The first column of the ED3 array A167572

1, 5, 23, 167, 1473, 16413, 211479, 3192975, 54010305, 1030249845, 21566327895, 497334999735, 12405876372225, 335591130336525, 9716331072597975, 301633179343890975, 9941514351641143425, 348336799875365041125 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	LINKS	`Table of n, a(n) for n=1..18.`
	FORMULA	`a(n) = (-1)^(n)(2n-3)!!((1)+(4n-2)sum((-1)^(k+n)/(2k+1), k=0..n-1))` `a(n) = (2n-1)a(n-1)+2(-1)^n(2n-5)!! with a(1) = 1.` `a(n) = 4a(n-1)+(4n^2-16n+15)*a(n-2) with a(1) = 1 and a(2) = 5 [According to Superseeker].`
	CROSSREFS	`Equals the first column of the ED3 array A167572.` `Equals the first right hand column of A167583.` `Other columns are A167577 and A167578.` `Cf. A097801 (the 2(-1)^n(2n-5)!! factor).` `Cf. A007509 and A025547 (the sum((-1)^(k+n)/(2k+1), k=0..n-1) factor).` `Sequence in context: A054749 A107204 A178383 * A116151 A198026 A198093` `Adjacent sequences: A167573 A167574 A167575 * A167577 A167578 A167579`
	KEYWORD	`easy,nonn`
	AUTHOR	`Johannes W. Meijer, Nov 10 2009`
	STATUS	`approved`

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Last modified May 25 12:01 EDT 2013. Contains 225647 sequences.