id:A087206 - OEIS Search Results

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a(n)=2a(n-1)+4a(n-2),a(0)=1,a(1)=4.

+0
4

1, 4, 12, 40, 128, 416, 1344, 4352, 14080, 45568, 147456, 477184, 1544192, 4997120, 16171008, 52330496, 169345024, 548012032, 1773404160, 5738856448, 18571329536, 60098084864, 194481487872, 629355315200, 2036636581888 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A087204.`
	FORMULA	`G.f.: (1+2x)/(1-2x-4x^2); a(n)=(1-sqrt(5))^n(1/2-3sqrt(5)/10)+(1+sqrt(5))^n(1/2+3sqrt(5/10)).` `a(n)=2^nFib(n+2). - Paul Barry (pbarry(AT)wit.ie), Mar 22 2004`
	CROSSREFS	`Cf. A060925.` `Equals (1/2) * A063727(n-1). Cf. A006483.` `Sequence in context: A104525 A126986 A090576 this_sequence A081875 A102433 A100320` `Adjacent sequences: A087203 A087204 A087205 this_sequence A087207 A087208 A087209`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 25 2003`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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