A147841 - OEIS

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A147841

a(n)=11*a(n-1)-9*a(n-2), a(0)=1, a(1)=9 .

1, 9, 90, 909, 9189, 92898, 939177, 9494865, 95990922, 970446357, 9810991629, 99186890706, 1002756873105, 10137643587801, 102489267607866, 1036143151396317, 10475171256888693, 105901595463208770 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..17.`
	FORMULA	`a(n)=Sum_{k, 0<=k<=n}A147703(n,k)8^k . G.f.: (1-2x)/(1-11x+9x^2).` `a(n)=(1/2)[(11/2)-(1/2)sqrt(85)]^n-(7/170)[(11/2)-(1/2)sqrt(85)]^nsqrt(85)+(7/170)sqrt(85) [(11/2)+(1/2)sqrt(85)]^n+(1/2)[(11/2)+(1/2)sqrt(85)]^n, with n>=0 [From Paolo P. Lava, Nov 18 2008]` `a(n)= ((85-7sqrt(85))/170)(5.5-0.5sqrt(85))^n+((85+7sqrt(85))/170)(5.5+0.5sqrt(85))^n [From Richard Choulet, Nov 19 2008]`
	CROSSREFS	`Sequence in context: A173480 A052268 A155199 * A036258 A098399 A143079` `Adjacent sequences: A147838 A147839 A147840 * A147842 A147843 A147844`
	KEYWORD	`nonn`
	AUTHOR	`Philippe DELEHAM, Nov 14 2008`
	EXTENSIONS	`Corrected entries. - Paolo P. Lava, Nov 18 2008`
	STATUS	`approved`

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Last modified May 22 17:24 EDT 2013. Contains 225559 sequences.