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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
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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G.f.: -x*(1+5*x)/((1+x)*(x^2+4*x-1)).
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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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MATHEMATICA
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LinearRecurrence[{3, 5, 1}, {0, 1, 8}, 30] (* Harvey P. Dale, Feb 12 2015 *)
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PROG
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(PARI) x='x+O('x^50); concat(0, Vec(-x*(1+5*x)/((1+x)*(x^2+4*x-1)))) \\ G. C. Greubel, Aug 30 2017
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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