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Search: id:A041545
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| A041545 |
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Denominators of continued fraction convergents to sqrt(290). |
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+0
2
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| 1, 34, 1157, 39372, 1339805, 45592742, 1551493033, 52796355864, 1796627592409, 61138134497770, 2080493200516589, 70797906952061796, 2409209329570617653, 81983915112353061998, 2789862323149574725585
(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, 34), the n-th Fibonacci polynomial evaluated at x=34. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=34*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=34 . G.f.: 1/(1-34*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=(1/2)*{[17+sqrt(290)]^n+[17-sqrt(290)]^n}+(17/580)*sqrt(290)*{[17+sqrt(290)]^n-[17-sqrt(290)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 12 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*34, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]
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CROSSREFS
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Cf. A041544.
Sequence in context: A029547 A091761 A009978 this_sequence A167258 A158731 A093550
Adjacent sequences: A041542 A041543 A041544 this_sequence A041546 A041547 A041548
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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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