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Search: id:A042300
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| A042300 |
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Numerators of continued fraction convergents to sqrt(677). |
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+0
2
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| 26, 1353, 70382, 3661217, 190453666, 9907251849, 515367549814, 26809019842177, 1394584399343018, 72545197785679113, 3773744869254656894, 196307278399027837601, 10211752221618702212146, 531207422802571542869193
(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)=52*a(n-1)+a(n-2), n>1 ; a(0)=26, a(1)=1353 . G.f.: (26+x)/(1-52*x -x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=13*{[26+sqrt(677)]^n+[26-sqrt(677)]^n}+(1/2)*sqrt(677)*{[26+sqrt(677)]^n-[26-sqrt(677)]^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. A042301.
Sequence in context: A106710 A114052 A042303 this_sequence A080163 A005644 A123537
Adjacent sequences: A042297 A042298 A042299 this_sequence A042301 A042302 A042303
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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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