id:A116388 - OEIS Search Results

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Expansion of 1/((1+x(1-M(x)))sqrt(1-2x-3x^2)), M(x) the g.f. of A001006.

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1, 1, 4, 10, 29, 82, 236, 681, 1975, 5745, 16757, 48982, 143442, 420721, 1235663, 3633453, 10695292, 31511524, 92919758, 274203662, 809719718, 2392579638, 7073684393, 20924387460, 61925598216, 183350728661, 543095661673 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: 2x/(sqrt(1-2x-3x^2)(sqrt(1-2x-3x^2)-1+2x+3x^2)); a(n)=sum{k=0..floor(n/2), sum{j=0..n-k, C(n-k,j-k)C(j,n-k-j)}}.`
	CROSSREFS	`Sequence in context: A052946 A026152 A025179 this_sequence A048044 A047188 A002220` `Adjacent sequences: A116385 A116386 A116387 this_sequence A116389 A116390 A116391`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 12 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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