id:A164549 - OEIS Search Results

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a(n) = 4*a(n-1)+2*a(n-2) for n > 1; a(0) = 1, a(1) = 6.

+0
4

1, 6, 26, 116, 516, 2296, 10216, 45456, 202256, 899936, 4004256, 17816896, 79276096, 352738176, 1569504896, 6983495936, 31072993536, 138258966016, 615181851136, 2737245336576, 12179345048576, 54191870867456 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A123011. Inverse binomial transform of A164550.`
	FORMULA	`a(n) = ((3+2sqrt(6))(2+sqrt(6))^n+(3-2sqrt(6))(2-sqrt(6))^n)/6.` `G.f.: (1+2x)/(1-4x-2*x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 5n-4 else 4Self(n-1)+2*Self(n-2): n in [1..22] ];`
	CROSSREFS	`Cf. A123011, A164550.` `Sequence in context: A113991 A145374 A124465 this_sequence A046647 A046233 A140231` `Adjacent sequences: A164546 A164547 A164548 this_sequence A164550 A164551 A164552`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 15 2009`

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

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