id:A129383 - OEIS Search Results

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Expansion of g(x)-xg(x^2), g(x) the g.f. of A001405.

+0
2

1, 0, 2, 2, 6, 8, 20, 32, 70, 120, 252, 452, 924, 1696, 3432, 6400, 12870, 24240, 48620, 92252, 184756, 352464, 705432, 1351616, 2704156, 5199376, 10400600, 20056584, 40116600, 77555328, 155117520, 300533760, 601080390, 1166790240 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums are A129384.`
	FORMULA	`G.f.: 2/(1-2x+sqrt(1-4x^2))-2x/(1-2x^2+sqrt(1-4x^4)); a(n)=C(n,floor(n/2))-C((n-1)/2,floor((n-1)/4))(1-(-1)^n)/2;`
	CROSSREFS	`Sequence in context: A136513 A054153 A000673 this_sequence A052957 A157253 A074933` `Adjacent sequences: A129380 A129381 A129382 this_sequence A129384 A129385 A129386`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 12 2007`

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Last modified December 6 13:45 EST 2009. Contains 170429 sequences.

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