id:A094038 - OEIS Search Results

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Binomial transform of (Pell(-n)+Pell(n))/2.

+0
2

0, 1, 2, 8, 24, 84, 280, 960, 3264, 11152, 38048, 129920, 443520, 1514304, 5170048, 17651712, 60266496, 205762816, 702517760, 2398545920, 8189147136, 27959497728, 95459694592, 325919784960, 1112759746560, 3799199420416 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Also binomial transform of Pell(n)(1-(-1)^n)/2.` `a(n+2) = A088013(n+1) + A007070(n) - Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Oct 23 2004`
	FORMULA	`G.f.: x(1-2x)/((1-2x^2)(1-4x+2x^2)); a(n)=(sqrt(2)/8)((2+sqrt(2))^n-(2-sqrt(2))^n+(sqrt(2))^n-(-sqrt(2))^n).`
	CROSSREFS	`Cf. A000129, A094039, A051450.` `Sequence in context: A063727 A127362 A133443 this_sequence A007223 A106189 A106183` `Adjacent sequences: A094035 A094036 A094037 this_sequence A094039 A094040 A094041`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 23 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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