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A042746 Numerators of continued fraction convergents to sqrt(904). 2
30, 451, 27090, 406801, 24435150, 366934051, 22040478210, 330974107201, 19880486910270, 298538277761251, 17932177152585330, 269281195566541201, 16174803911145057390, 242891339862742402051, 14589655195675689180450, 219087719274998080108801 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0, 902, 0, -1).

FORMULA

G.f.: -(x^3-30*x^2-451*x-30) / ((x^2-30*x-1)*(x^2+30*x-1)). - Colin Barker, Nov 09 2013

a(n) = 902*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[904], 30]] (* Vincenzo Librandi, Sep 25 2013 *)

CoefficientList[Series[(30 + 451 x + 30 x^2 - x^3)/(1 - 902 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 03 2013 *)

PROG

(MAGMA) I:=[30, 451, 27090, 406801]; [n le 4 select I[n] else 902*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 03 2013

CROSSREFS

Cf. A042747.

Sequence in context: A281602 A006421 A035710 * A281700 A024524 A081736

Adjacent sequences:  A042743 A042744 A042745 * A042747 A042748 A042749

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified February 16 14:47 EST 2019. Contains 320163 sequences. (Running on oeis4.)