id:A081187 - OEIS Search Results

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5th binomial transform of (1,0,1,0,1,......), A059841.

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1, 5, 26, 140, 776, 4400, 25376, 148160, 872576, 5169920, 30757376, 183495680, 1096779776, 6563901440, 39316299776, 235629363200, 1412702437376, 8471919656960, 50814338072576, 304817308958720, 1828628975845376 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A081187.`
	FORMULA	`a(n)=10a(n-1)-24a(n-2), a(0)=1, a(1)=5. G.f.: (1-5x)/((1-4x)(1-6x)). E.g.f. exp(5x)cosh(x). a(n)=4^n/2+6^n/2.` `Sum{k=0..floor(n/2); C(n, 2k)5^(n-2k) }`
	CROSSREFS	`Cf. A081189.` `Adjacent sequences: A081184 A081185 A081186 this_sequence A081188 A081189 A081190` `Sequence in context: A081569 A005573 A081911 this_sequence A104498 A045379 A053487`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 11 2003`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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