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Search: id:A110528
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| A110528 |
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a(n+3) = 3*a(n+2) + 5*a(n+1) + a(n), a(0) = 1, a(1) = 10, a(2) = 37. |
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+0
3
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| 1, 10, 37, 162, 681, 2890, 12237, 51842, 219601, 930250, 3940597, 16692642, 70711161, 299537290, 1268860317, 5374978562, 22768774561, 96450076810, 408569081797, 1730726404002, 7331474697801, 31056625195210
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Compare with A110526, A110527.
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FORMULA
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G.f. -(1+7*x+2*x^2)/((1+x)*(x^2+4*x-1))
a(n)=[2-sqrt(5)]^n-(-1)^n+[2+sqrt(5)]^n+(1/2)*[2+sqrt(5)]^n*sqrt(5)-(1/2)*[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(-(1+7*x+2*x^2)/((1+x)*(x^2+4*x-1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 2tesseq[(- 'i + 'j - i' + j' - 'kk' - 'ik' - 'jk' - 'ki' - 'kj')(+ .5'i + .5i' + .5'jj' + .5'kk')]
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CROSSREFS
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Cf. A110526, A110527.
Sequence in context: A047672 A048480 A116970 this_sequence A137280 A071261 A129426
Adjacent sequences: A110525 A110526 A110527 this_sequence A110529 A110530 A110531
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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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