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Search: id:A110527
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| A110527 |
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a(n+3) = 3*a(n+2) + 5*a(n+1) + a(n), a(0) = 0, a(1) = 1, a(2) = 8. |
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3
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| 0, 1, 8, 29, 128, 537, 2280, 9653, 40896, 173233, 733832, 3108557, 13168064, 55780809, 236291304, 1000946021, 4240075392, 17961247585, 76085065736, 322301510525, 1365291107840, 5783465941881, 24499154875368
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A048878(n) = a(n) + a(n+1). Compare with A110526.
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FORMULA
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G.f. -x*(1+5*x)/((1+x)*(x^2+4*x-1))
a(n)=-(1/2)*[2-sqrt(5)]^n+(-1)^n-(1/2)*[2+sqrt(5)]^n+(2/5)*[2+sqrt(5)]^n*sqrt(5)-(2/5)*[2 -sqrt(5)]^n*sqrt(5), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 02 2008]
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MAPLE
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seriestolist(series(-x*(1+5*x)/((1+x)*(x^2+4*x-1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 1lesseq[(- 'i + 'j - i' + j' - 'kk' - 'ik' - 'jk' - 'ki' - 'kj')(+ .5'i + .5i' + .5'jj' + .5'kk')], apart from initial term.
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CROSSREFS
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Cf. A110526, A110528, A033887, A001076, A049661, A033887.
Sequence in context: A116952 A088131 A072264 this_sequence A105421 A071931 A074670
Adjacent sequences: A110524 A110525 A110526 this_sequence A110528 A110529 A110530
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KEYWORD
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easy,nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jul 24 2005
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