A162356 - OEIS

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A162356

a(n) = 8*a(n-1)-14*a(n-2) for n>1; a(0) = 2; a(1) = 9.

2, 9, 44, 226, 1192, 6372, 34288, 185096, 1000736, 5414544, 29306048, 158644768, 858873472, 4649961024, 25175459584, 136304222336, 737977344512, 3995559643392, 21632794323968, 117124519584256, 634137036138496 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	COMMENTS	`Fourth binomial transform of A135530.`
	LINKS	`Table of n, a(n) for n=0..20.`
	FORMULA	`G.f.: (2-7x)/(1-8x+14*x^2).` `a(n) = ((4+sqrt(2))^(n+1)+(4-sqrt(2))^(n+1))/4.`
	PROG	`(MAGMA) Z<x>:=PolynomialRing(Integers()); N<r>:=NumberField(x^2-2); S:=[ ((4+r)^(n+1)+(4-r)^(n+1))/4: n in [0..20] ]; [ Integers()!S[j]: j in [1..#S] ];`
	CROSSREFS	`Cf. A135530, A161944 (third binomial transform of A135530), A161947 (fifth binomial transform of A135530).` `Sequence in context: A216861 A199308 A176479 * A026302 A214460 A124889` `Adjacent sequences: A162353 A162354 A162355 * A162357 A162358 A162359`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus, Jul 01 2009`
	STATUS	`approved`

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Last modified May 26 01:28 EDT 2013. Contains 225652 sequences.