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Search: id:A123001
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| A123001 |
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a(n)=a(n-1)+9a(n-2), a(1)=0, a(2)=1. |
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+0
1
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| 0, 1, 1, 10, 19, 109, 280, 1261, 3781, 15130, 49159, 185329, 627760, 2295721, 7945561, 28607050, 100117099, 357580549, 1258634440, 4476859381, 15804569341, 56096303770, 198337427839, 703204161769, 2488241012320, 8817078468241
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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a(n)=A015445(n-2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2008
a(n)=(1/37)*[1/2+(1/2)*sqrt(37)]^n*sqrt(37)-(1/37)*[1/2-(1/2)*sqrt(37)]^n*sqrt(37), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 01 2008]
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MATHEMATICA
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m = 3; f[n_Integer] = Module[{a}, a[n] /. RSolve[{a[n] == a[n - 1]/m + a[n - 2], a[0] == 0, a[1] == 1}, a[n], n][[1]] // FullSimplify] ; a = Table[Rationalize[N[f[n]*m^(n - 1), 100], 0], {n, 0, 25}]
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CROSSREFS
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Cf. A026595.
Sequence in context: A060630 A070199 A015445 this_sequence A073222 A110463 A121725
Adjacent sequences: A122998 A122999 A123000 this_sequence A123002 A123003 A123004
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 22 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 15 2006
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