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A042300
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Numerators of continued fraction convergents to sqrt(677).
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1
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26, 1353, 70382, 3661217, 190453666, 9907251849, 515367549814, 26809019842177, 1394584399343018, 72545197785679113, 3773744869254656894, 196307278399027837601, 10211752221618702212146, 531207422802571542869193
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Tanya Khovanova, Recursive Sequences
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FORMULA
| 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 (paoloplava(AT)gmail.com), Nov 28 2008]
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MATHEMATICA
| Numerator[Convergents[Sqrt[677], 30]] (* or *) LinearRecurrence[{52, 1}, {26, 1353}, 30] (* From Harvey P. Dale, Nov 09 2011 *)
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CROSSREFS
| Cf. A042301.
Sequence in context: A106710 A114052 A042303 * A080163 A005644 A123537
Adjacent sequences: A042297 A042298 A042299 * A042301 A042302 A042303
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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