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A042455 Denominators of continued fraction convergents to sqrt(755). 2
1, 2, 21, 44, 2397, 4838, 50777, 106392, 5795945, 11698282, 122778765, 257255812, 14014592613, 28286441038, 296879002993, 622044447024, 33887279142289, 68396602731602, 717853306458309, 1504103215648220, 81939426951462189, 165382957118572598 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 2418, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-2*x-1)*(x^4+22*x^2+1) / (x^8-2418*x^4+1). - Colin Barker, Dec 14 2013

MATHEMATICA

Denominator[Convergents[Sqrt[755], 30]] (* Vincenzo Librandi, Jan 22 2014 *)

LinearRecurrence[{0, 0, 0, 2418, 0, 0, 0, -1}, {1, 2, 21, 44, 2397, 4838, 50777, 106392}, 30] (* Harvey P. Dale, Sep 07 2018 *)

CROSSREFS

Cf. A042454, A040727.

Sequence in context: A041049 A224346 A005484 * A245546 A074875 A231807

Adjacent sequences:  A042452 A042453 A042454 * A042456 A042457 A042458

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 14 2013

STATUS

approved

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Last modified October 22 04:25 EDT 2019. Contains 328315 sequences. (Running on oeis4.)