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Search: id:A133668
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| A133668 |
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a(n)=a(n-1)-36*a(n-2), a(0)=1, a(1)=6 . |
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+0
2
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| 1, 6, -30, -246, 834, 9690, -20334, -369174, 362850, 13653114, 590514, -490921590, -512180094, 17160997146, 35599480530, -582196416726, -1863777715806, 19095293286330, 86191291055336, -601239267252534, -3704125745244990, 17940487875846234
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G;f.:(1+5*x)/(1-x+36*x^2) .
a(n)=Sum_{k, 0<=k<=n}A133607(n,k)*6^k. - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 30 2007
a(n)=(1/26)*I*[1/2-(1/2)*I*sqrt(143)]^n*sqrt(143)+(1/2)*[1/2-(1/2)*I*sqrt(143)]^n+(1/2) *[1/2+(1/2)*I*sqrt(143)]^n-(1/26)*I*[1/2+(1/2)*I*sqrt(143)]^n*sqrt(143), with n>=0 and I=sqrt(-1) [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]
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CROSSREFS
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Sequence in context: A073087 A126751 A009689 this_sequence A121772 A052585 A051821
Adjacent sequences: A133665 A133666 A133667 this_sequence A133669 A133670 A133671
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KEYWORD
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easy,sign
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 28 2007
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