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Search: id:A093117
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| A093117 |
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a(1)=1, a(2)=15, a(n+2) = 8*a(n+1) + 21*a(n). |
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+0
3
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| 1, 15, 141, 1443, 14505, 146343, 1475349, 14875995, 149990289, 1512318207, 15248341725, 153745416147, 1550178505401, 15630081782295, 157594402871781, 1588986940402443, 16021377983526945, 161539749616666863
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n+1)/a(n) converges to 4+sqrt(37).
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FORMULA
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G.f.: -(7*x+1)/(21*x^2+8*x-1) - Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 18 2005
a(n)=(1/2)*[4-sqrt(37)]^n+(11/74)*sqrt(37)*[4+sqrt(37)]^n+(1/2)*[4+sqrt(37)]^n-(11/74)*[4 -sqrt(37)]^n*sqrt(37), with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 08 2008
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CROSSREFS
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Cf. A093103, A094703.
Sequence in context: A055903 A026859 A096046 this_sequence A045724 A071700 A133126
Adjacent sequences: A093114 A093115 A093116 this_sequence A093118 A093119 A093120
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 21 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), May 24 2004
Edited by Don Reble (djr(AT)nk.ca), Nov 04 2005
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