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Search: id:A042405
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| A042405 |
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Denominators of continued fraction convergents to sqrt(730). |
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+0
2
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| 1, 54, 2917, 157572, 8511805, 459795042, 24837444073, 1341681774984, 72475653293209, 3915026959608270, 211483931472139789, 11424047326455156876, 617110039560050611093, 33335366183569188155898, 1800726883952296211029585
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n)=F(n, 54), the n-th Fibonacci polynomial evaluated at x=54. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=54*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=54 . G.f.: 1/(1-54*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=(1/2)*{[27+sqrt(730)]^n+[27-sqrt(730)]^n}+(27/1460)*sqrt(730)*{[27+sqrt(730)]^n-[27 -sqrt(730)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 01 2008]
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MATHEMATICA
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a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*54, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]
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CROSSREFS
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Cf. A042404.
Sequence in context: A062144 A076009 A003755 this_sequence A046199 A007761 A085482
Adjacent sequences: A042402 A042403 A042404 this_sequence A042406 A042407 A042408
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KEYWORD
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nonn,cofr,easy,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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