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A041324 Numerators of continued fraction convergents to sqrt(176). 2
13, 40, 53, 199, 5227, 15880, 21107, 79201, 2080333, 6320200, 8400533, 31521799, 827967307, 2515423720, 3343391027, 12545596801, 329528907853, 1001132320360, 1330661228213, 4993116004999, 131151677358187, 398448148079560, 529599825437747 (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 (0,0,0,398,0,0,0,-1).

FORMULA

G.f.: -(x^7-13*x^6+40*x^5-53*x^4-199*x^3-53*x^2-40*x-13) / ((x^4-20*x^2+1)*(x^4+20*x^2+1)). - Colin Barker, Nov 06 2013

a(n) = 398*a(n-4) - a(n-8) for n > 7. - Wesley Ivan Hurt, Oct 15 2017

MATHEMATICA

Numerator[Convergents[Sqrt[176], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

LinearRecurrence[{0, 0, 0, 398, 0, 0, 0, -1}, {13, 40, 53, 199, 5227, 15880, 21107, 79201}, 30]

CROSSREFS

Cf. A041325.

Sequence in context: A168235 A258597 A299816 * A220083 A041326 A319088

Adjacent sequences:  A041321 A041322 A041323 * A041325 A041326 A041327

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

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Last modified June 2 10:43 EDT 2020. Contains 334770 sequences. (Running on oeis4.)