id:A157100 - OEIS Search Results

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Transform of Catalan numbers whose Hankel transform satisfies the Somos-4 recurrence.

+0
2

1, 2, 3, 6, 14, 37, 105, 312, 956, 2996, 9554, 30897, 101083, 333947, 1112497, 3732956, 12605030, 42800318, 146046820, 500555448, 1722402304, 5948047170, 20607691518, 71610355541, 249520257107, 871614139397, 3051737703527 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Hankel transform is A157101.`
	FORMULA	`G.f.: (1+x)c(x(1-x^2)), c(x) the g.f. of A000108;` `a(n)=sum{k=0..n, (-1)^C(n-k,2)C(k,floor((n-k)/2))*A000108(k)}.`
	CROSSREFS	`Sequence in context: A080408 A001420 A049339 this_sequence A081293 A007611 A098641` `Adjacent sequences: A157097 A157098 A157099 this_sequence A157101 A157102 A157103`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 22 2009`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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