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Search: id:A094703
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| A094703 |
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a(1)=1, a(2)=11, a(n+2) = 8*a(n+1) + 21*a(n). |
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+0
3
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| 1, 11, 109, 1103, 11113, 112067, 1129909, 11392679, 114869521, 1158202427, 11677879357, 117745285823, 1187197753081, 11970233026931, 120693017030149, 1216919029806743, 12269905596087073, 123714544394638187
(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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a(n)=(1/2)*[4-sqrt(37)]^n+(7/74)*sqrt(37)*[4+sqrt(37)]^n+(1/2)*[4+sqrt(37)]^n-(7/74)*[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, A093117.
Sequence in context: A048346 A054320 A124290 this_sequence A103542 A044343 A132123
Adjacent sequences: A094700 A094701 A094702 this_sequence A094704 A094705 A094706
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KEYWORD
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nonn,new
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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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