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Search: id:A133453
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| A133453 |
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a(n)=3a(n-1)-a(n-3)+3a(n-4). |
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+0
1
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| 2, 4, 13, 40, 122, 365, 1094, 3280, 9841, 29524, 88574
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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O.g.f: -(2-2*x+x^2+3*x^3)/((3*x-1)*(x+1)*(x^2-x+1)) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 30 2007
a(n)=(1/6)*{1/2-(1/2)*I*sqrt(3)}^n+(3/2)*3^n+(1/6)*(-1)^n+(1/6)*{1/2+(1/2)*I*sqrt(3)}^n-(1/6 )*I*{1/2-(1/2)*I*sqrt(3)}^n*sqrt(3)+(1/6)*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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Cf. A129339.
Sequence in context: A163137 A093630 A033091 this_sequence A085422 A065601 A148255
Adjacent sequences: A133450 A133451 A133452 this_sequence A133454 A133455 A133456
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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 27 2007
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