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Search: id:A137232
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| A137232 |
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a(n)=-a(n-1)+7a(n-2)+3a(n-3). |
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+0
1
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| 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; listen)
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OFFSET
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0,5
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FORMULA
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O.g.f.: -x^2/{(3*x+1)(x^2+2*x-1)} . a(n) = [(-3)^n+A135532(n)]/14 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 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 (ppl(AT)spl.at), Jun 09 2008
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CROSSREFS
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Adjacent sequences: A137229 A137230 A137231 this_sequence A137233 A137234 A137235
Sequence in context: A069186 A038290 A002288 this_sequence A098664 A083128 A067923
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KEYWORD
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sign
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Mar 08 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 17 2008
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