A155455 - OEIS

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A155455

a(n)=5*a(n-1)+16*a(n-2), n>1 ; a(0)=1, a(1)=1.

0, 1, 5, 41, 285, 2081, 14965, 108121, 780045, 5630161, 40631525, 293240201, 2116305405, 15273370241, 110227737685, 795512612281, 5741206864365, 41434236118321, 299030490421445, 2158100230000361, 15574988996744925 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (5,16).`
	FORMULA	`G.f.: x/(1-5x-16x^2)` `a(n) = -(1/89^(1/2)) 32^n ((-1)^n*(5+89^(1/2))^(-n)-(-5+89^(1/2))^(-n)). [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 26 2009, adapted Apr 01 2011]`
	CROSSREFS	`Sequence in context: A198725 A190638 A083300 * A198688 A202249 A067381` `Adjacent sequences: A155452 A155453 A155454 * A155456 A155457 A155458`
	KEYWORD	`nonn,easy`
	AUTHOR	`Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 22 2009`
	EXTENSIONS	`Regularized: a(0) set to 0. - R. J. Mathar, Apr 01 2011`

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.