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Search: id:A041364
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| A041364 |
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Numerators of continued fraction convergents to sqrt(197). |
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+0
2
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| 14, 393, 11018, 308897, 8660134, 242792649, 6806854306, 190834713217, 5350178824382, 149995841795913, 4205233749109946, 117896540816874401, 3305308376621593174, 92666531086221483273, 2597968178790823124818
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=28*a(n-1)+a(n-2), n>1 ; a(0)=14, a(1)=393 . G.f.: (14+x)/(1-28*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
a(n)=7*{[14-sqrt(197)]^n+[14+sqrt(197)]^n}+(1/2)*sqrt(197)*{[14+sqrt(197)]^n-[14-sqrt(197)]^n }, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 28 2008]
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CROSSREFS
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Cf. A041365.
Sequence in context: A000473 A097310 A041367 this_sequence A033815 A103916 A005790
Adjacent sequences: A041361 A041362 A041363 this_sequence A041365 A041366 A041367
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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