id:A163147 - OEIS Search Results

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a(n) = 14*a(n-1)-44*a(n-2) for n > 1; a(0) = 1, a(1) = 12.

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1, 12, 124, 1208, 11456, 107232, 997184, 9242368, 85517056, 790574592, 7305293824, 67488831488, 623410712576, 5758241390592, 53185308114944, 491231692423168, 4537090136866816, 41905067449516032, 387038978271084544 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A163146. Inverse binomial transform of A163148.`
	FORMULA	`a(n) = ((1+sqrt(5))(7+sqrt(5))^n+(1-sqrt(5))(7-sqrt(5))^n)/2.` `G.f.: (1-2x)/(1-14x+44*x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 11n-10 else 14Self(n-1)-44*Self(n-2): n in [1..19] ];`
	CROSSREFS	`Cf. A163146, A163148.` `Sequence in context: A071269 A061088 A125424 this_sequence A120918 A039680 A016134` `Adjacent sequences: A163144 A163145 A163146 this_sequence A163148 A163149 A163150`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 21 2009`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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