id:A081180 - OEIS Search Results

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4-th binomial transform of (0,1,0,2,0,4,0,8,0,16,....).

+0
2

0, 1, 8, 50, 288, 1604, 8800, 47944, 260352, 1411600, 7647872, 41420576, 224294400, 1214467136, 6575615488, 35602384000, 192760455168, 1043650265344, 5650555750400, 30593342288384, 165638957801472, 896804870374400 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=8a(n-1)-14a(n-2), a(0)=0, a(1)=1. G.f.: x/(1-8x+14x^2). a(n)=((4+sqrt(2))^n-(4-sqrt(2))^n/(2sqrt(2)). a(n)=Sum {k=0..n, C(n, 2k+1)2^k4^(n-2k-1) }`
	CROSSREFS	`Binomial transform of A081179.` `Cf. A081182.` `Adjacent sequences: A081177 A081178 A081179 this_sequence A081181 A081182 A081183` `Sequence in context: A030279 A133357 A081675 this_sequence A052177 A115598 A127745`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 11 2003`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

AT&T Labs Research