id:A121401 - OEIS Search Results

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a(n)=((sqrt(3)+1)^n+(sqrt(3)-1)^n)^2/2^(n+1).

+0
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2, 3, 8, 27, 98, 363, 1352, 5043, 18818, 70227, 262088, 978123, 3650402, 13623483, 50843528, 189750627, 708158978, 2642885283, 9863382152, 36810643323, 137379191138, 512706121227, 1913445293768, 7141075053843, 26650854921602 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(n)=A001075(n)+1. Cf. A001075 a(n)=((2+sqrt(3))^n+(2-sqrt(3))^n)/2.`
	FORMULA	`a(n)=A102206(n-1). O.g.f.: (1-3x)(x-2)/((x-1)(x^2-4x+1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008]`
	MATHEMATICA	`Table[((-1+Sqrt[3])^n+(1+Sqrt[3])^n)^2/(2^(n+1)), {n, 0, 25}]`
	CROSSREFS	`Cf. A001075.` `Sequence in context: A041399 A041503 A086613 this_sequence A093858 A080568 A091339` `Adjacent sequences: A121398 A121399 A121400 this_sequence A121402 A121403 A121404`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Sep 06 2006`

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

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