id:A129384 - OEIS Search Results

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

+0
2

1, 1, 3, 5, 11, 19, 39, 71, 141, 261, 513, 965, 1889, 3585, 7017, 13417, 26287, 50527, 99147, 191399, 376155, 728619, 1434051, 2785667, 5489823, 10689199, 21089799, 41146383, 81262983, 158818311, 313935831, 614469591, 1215549981 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums of A129383.`
	FORMULA	`G.f.: (1/(1-x))(g(x)-x*g(x^2)), g(x) the g.f. of A001405; a(n)=sum{k=floor((n+1)/2)..n, C(k,floor(k/2))}`
	CROSSREFS	`Adjacent sequences: A129381 A129382 A129383 this_sequence A129385 A129386 A129387` `Sequence in context: A134127 A078722 A089098 this_sequence A131887 A045691 A045961`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 12 2007`

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.

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