id:A114191 - OEIS Search Results

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Expansion of 1/(1+xc(-2x)), c(x) the g.f. of A000108.

+0
3

1, -1, 3, -13, 67, -381, 2307, -14589, 95235, -636925, 4341763, -30056445, 210731011, -1493303293, 10678370307, -76957679613, 558403682307, -4075996839933, 29909606989827, -220510631755773, 1632599134961667, -12133359132082173, 90485602494971907, -676925762716041213 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`First column of A114189. Row sums of A114193. Alternating sign version of A062992.`
	FORMULA	`G.f.: 4/(3+sqrt(1+8x)).` `a(n) = Sum_{k=0..n} (-2)^(n-k)A039599(n, k) = Sum_{k=0..n} (-2)^(n-k)C(2n, n-k)(2*k+1)/(n+k+1) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 17 2005`
	CROSSREFS	`Sequence in context: A027277 A062992 A064062 this_sequence A107592 A028418 A080832` `Adjacent sequences: A114188 A114189 A114190 this_sequence A114192 A114193 A114194`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 16 2005`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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