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Search: id:A133405
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| A133405 |
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a(n)=3a(n-1)-a(n-3)+3a(n-4). |
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+0
3
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| 0, 0, 0, 1, 3, 9, 26, 78, 234, 703, 2109, 6327, 18980, 56940
(list; graph; listen)
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OFFSET
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0,5
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FORMULA
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a(n+1)-3a(n)=hexaperiodic 0, 0, 1, 0, 0, -1, A131531.
O.g.f.: -x^3/((3*x-1)*(x+1)*(x^2-x+1)) = -(1/28)/(3*x-1)-(1/12)/(x+1)+(1/21)*(-5*x+1)/(x^2-x+1) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 28 2007
a(n)=(1/42)*{1/2-(1/2)*I*sqrt(3)}^n+(1/28)*3^n-(1/12)*(-1)^n+(1/42)*{1/2+(1/2)*I*sqrt(3)}^n -(1/14)*I*{1/2-(1/2)*I*sqrt(3)}^n*sqrt(3)+(1/14)*I*{1/2+(1/2)*I*sqrt(3)}^n *sqrt(3), with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jun 09 2008
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CROSSREFS
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Sequence in context: A119826 A027915 A114982 this_sequence A148921 A148922 A148923
Adjacent sequences: A133402 A133403 A133404 this_sequence A133406 A133407 A133408
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Nov 24 2007
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