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Search: id:A041544
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| A041544 |
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Numerators of continued fraction convergents to sqrt(290). |
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+0
2
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| 17, 579, 19703, 670481, 22816057, 776416419, 26420974303, 899089542721, 30595465426817, 1041144914054499, 35429522543279783, 1205644911385567121, 41027356509652561897, 1396135766239572671619, 47509643408655123396943
(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)=34*a(n-1)+a(n-2), n>1 ; a(0)=17, a(1)=579 . G.f.: (17+x)/(1-34*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=(17/2)*{[17+sqrt(290)]^n+[17-sqrt(290)]^n}+(1/2)*sqrt(290)*{[17+sqrt(290)]^n-[17-sqrt(290)]^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. A041545.
Sequence in context: A012069 A056771 A041547 this_sequence A009709 A094133 A162490
Adjacent sequences: A041541 A041542 A041543 this_sequence A041545 A041546 A041547
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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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