id:A133443 - OEIS Search Results

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a(n)=sum{k=0..n, C(n,floor(k/2))*(-1)^k*3^(n-k)}.

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1, 2, 8, 24, 84, 272, 920, 3040, 10180, 33840, 112968, 376224, 1254696, 4181088, 13939248, 46459584, 154873860, 516229040, 1720795880 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Hankel transform is 4^n . Second binomial transform is A076035 .`
	FORMULA	`a(n)=Sum{k, 0<=k<=n} A053121(n,k)A015518(k+1) = (-1)^nA127362(n) . G.f.: (1/sqrt(1-4x^2))(1-xc(x^2))/(1-3x*c(x^2)), where c(x) is the g.f. of Catalan numbers A000108 .`
	CROSSREFS	`Sequence in context: A085449 A063727 A127362 this_sequence A094038 A007223 A106189` `Adjacent sequences: A133440 A133441 A133442 this_sequence A133444 A133445 A133446`
	KEYWORD	`nonn`
	AUTHOR	`Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 26 2007, Dec 07 2007`

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Last modified December 4 20:00 EST 2008. Contains 151309 sequences.

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