id:A119967 - OEIS Search Results

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A119967

A transform of the central binomial coefficients C(n,floor(n/2)).

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1, 1, 2, 4, 9, 21, 49, 113, 259, 595, 1376, 3202, 7479, 17499, 40986, 96116, 225755, 531115, 1251310, 2951556, 6968883, 16468775, 38951925, 92204241, 218426037, 517799861, 1228280392, 2915346934, 6923469409, 16450694861, 39107365561 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Inverse binomial transform is A001405 with interpolated zeros.`
	FORMULA	`G.f.: 2(1-x)/(1-2x-x^2+sqrt(1-4x+6x^2-4x^3-3x^4)); a(n)=sum{k=0..floor(n/2), C(n,2k)C(k,floor(k/2))}.`
	CROSSREFS	`Sequence in context: A137256 A051164 A101891 this_sequence A052921 A018905 A024537` `Adjacent sequences: A119964 A119965 A119966 this_sequence A119968 A119969 A119970`
	KEYWORD	`nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 31 2006`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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