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A137232 a(n)=-a(n-1)+7a(n-2)+3a(n-3). 0
0, 0, 1, -1, 8, -12, 65, -125, 544, -1224, 4657, -11593, 40520, -107700, 356561, -988901, 3161728, -9014352, 28179745, -81795025, 252010184, -740036124, 2258722337, -6682944653, 20273892640, -60278338200, 182146752721, -543273442201, 1637465696648, -4893939533892, 14726379083825 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (-1,7,3)

FORMULA

O.g.f.: -x^2/{(3*x+1)(x^2+2*x-1)} . a(n) = [(-3)^n+A135532(n)]/14 . - R. J. Mathar, Mar 17 2008

a(n)=-(1/28)*[1+sqrt(2)]^n-(1/14)*sqrt(2)*[1-sqrt(2)]^n+(1/14)*(-3)^n-(1/28)*[1-sqrt(2)]^n+(1 /14)*[1+sqrt(2)]^n*sqrt(2), with n>=0 - Paolo P. Lava, Jun 09 2008

CROSSREFS

Sequence in context: A038290 A002288 A216711 * A147764 A226259 A162466

Adjacent sequences:  A137229 A137230 A137231 * A137233 A137234 A137235

KEYWORD

sign,easy

AUTHOR

Paul Curtz, Mar 08 2008

STATUS

approved

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Last modified October 21 14:33 EDT 2019. Contains 328301 sequences. (Running on oeis4.)