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Search: id:A137212
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| A137212 |
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a(n)=5a(n-1)-5a(n-2)-3a(n-3). |
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+0
3
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| 0, 0, 1, 5, 20, 72, 245, 805, 2584, 8160, 25465, 78773, 242060, 740040, 2253581, 6841525, 20719600, 62629632, 189025585, 569820965, 1716088004, 5164258440, 15531389285, 46687390213, 140287229320, 421405027680, 1265526821161
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OFFSET
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0,4
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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-A078057(n)]/2 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 17 2008
a(n)=(1/2)*3^n-(1/4)*[1+sqrt(2)]^n+(1/4)*sqrt(2)*[1-sqrt(2)]^n-(1/4)*[1-sqrt(2)]^n-(1/4)*[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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Sequence in context: A121332 A122695 A066822 this_sequence A118049 A114247 A006650
Adjacent sequences: A137209 A137210 A137211 this_sequence A137213 A137214 A137215
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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), Mar 06 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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