id:A105865 - OEIS Search Results

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Expansion of (1/(1-2x^2))c(x/(1-2x^2)), where c(x) is the g.f. of A000108.

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1, 1, 4, 9, 30, 94, 328, 1165, 4294, 16134, 61752, 239610, 940716, 3729324, 14908176, 60026109, 243211206, 990897478, 4057013080, 16683617326, 68879236036, 285388549188, 1186296731376, 4945790840338, 20675513743900, 86648395759516 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1-sqrt((1-4x-2x^2)/(1-2x^2)))/(2x); a(n)=sum{k=0..floor(n/2), 2^k*C(n-k, k)C(n-2k)}.`
	CROSSREFS	`Sequence in context: A151270 A149113 A149114 this_sequence A069103 A041137 A042599` `Adjacent sequences: A105862 A105863 A105864 this_sequence A105866 A105867 A105868`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 23 2005`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

AT&T Labs Research