id:A126444 - OEIS Search Results

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a(n) = Sum_{k=0..n-1} C(n-1,k)*a(k)*a(n-1-k)*2^k for n>0, with a(0)=1.

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1, 1, 3, 19, 225, 4801, 185523, 13298659, 1815718305, 481790947681, 251592291767043, 260427247041910099, 536497603929547755585, 2204489516030261302702561, 18090090482887693483393912563 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Generated by a generalization of a recurrence for the factorials.`
	FORMULA	`a(n) = Sum_{k=0..n(n-1)/2} A126470(n,k)2^k.`
	PROGRAM	`(PARI) a(n)=if(n==0, 1, sum(k=0, n-1, binomial(n-1, k)a(k)a(n-1-k)*2^k))`
	CROSSREFS	`Cf. A126470.` `Sequence in context: A136652 A136504 A003111 this_sequence A001929 A135754 A118023` `Adjacent sequences: A126441 A126442 A126443 this_sequence A126445 A126446 A126447`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jan 01 2007`

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Last modified September 6 00:03 EDT 2008. Contains 143485 sequences.

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