id:A157127 - OEIS Search Results

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A transform of the Catalan numbers with a simple Hankel transform.

+0
3

1, 0, -1, -1, 1, 2, 1, -3, -5, -1, 11, 15, -5, -44, -41, 51, 169, 85, -303, -611, -15, 1513, 2021, -1271, -6827, -5673, 10361, 28301, 10141, -61102, -107015, 20109, 310387, 356515, -354349, -1421913, -936805, 2567875, 5930631, 972819, -14696329 (list; graph; listen)

	OFFSET	`0,6`
	COMMENT	`Hankel transform is A157128. Partial sums of A157125.`
	FORMULA	`G.f.: (sqrt(1+x^2+4x^3)-sqrt(1+x^2))/(2*sqrt(1+x^2));` `a(n)=sum{k=0..n, A157125(k)};`
	CROSSREFS	`Sequence in context: A058168 A058169 A002249 this_sequence A066748 A106583 A081450` `Adjacent sequences: A157124 A157125 A157126 this_sequence A157128 A157129 A157130`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 23 2009`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

AT&T Labs Research