id:A057819 - OEIS Search Results

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a(0)=4, a(1)=9, a(n)=4a(n-1)-a(n-2).

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4, 9, 32, 119, 444, 1657, 6184, 23079, 86132, 321449, 1199664, 4477207, 16709164, 62359449, 232728632, 868555079, 3241491684, 12097411657, 45148154944, 168495208119, 628832677532, 2346835502009, 8758509330504, 32687201820007 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`Index entries for sequences related to linear recurrences with constant coefficients` `Tanya Khovanova, Recursive Sequences`
	FORMULA	`G.f.: (4-7x)/(1-4x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 16 2008]` `a(n)=-(1/6)sqrt(3)[2-sqrt(3)]^n+(1/6)sqrt(3)[2+sqrt(3)]^n+2[2-sqrt(3)]^n+2[2 +sqrt(3)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 20 2008]`
	CROSSREFS	`Sequence in context: A149118 A149119 A149120 this_sequence A129196 A119574 A006393` `Adjacent sequences: A057816 A057817 A057818 this_sequence A057820 A057821 A057822`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Nov 09 2000`

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Last modified December 6 19:58 EST 2009. Contains 170429 sequences.

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