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A159289 a(n+1) = 5*a(n) - 2*a(n-1) 0
5, 21, 95, 433, 1975, 9009, 41095, 187457, 855095, 3900561, 17792615, 81161953, 370224535, 1688798769, 7703544775, 35140126337, 160293542135, 731187458001, 3335350205735, 15214376112673, 69401180151895, 316577148534129 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (5, -2).

FORMULA

G.f.: -(-5+4*x)/(1-5*x+2*x^2). a(n) = 5*A107839(n)-4*A107839(n-1). [From R. J. Mathar, Apr 10 2009]

a(n)=(5/2)*{[(5/2)+(1/2)*sqrt(17)]^n+[(5/2)-(1/2)*sqrt(17)]^n} +(1/2)*sqrt(17)*{[(5/2)+(1/2)*sqrt(17)]^n-[(5/2)-(1/2)*sqrt(17)]^n}, with n>=0 [From Paolo P. Lava, Jul 31 2009]

CROSSREFS

A107839

Sequence in context: A103519 A178876 A202513 * A201869 A017968 A017969

Adjacent sequences:  A159286 A159287 A159288 * A159290 A159291 A159292

KEYWORD

nonn,easy

AUTHOR

Creighton Dement, Apr 08 2009

STATUS

approved

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Last modified November 18 14:26 EST 2017. Contains 294894 sequences.