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A042524 Numerators of continued fraction convergents to sqrt(791). 2
28, 225, 12628, 101249, 5682572, 45561825, 2557144772, 20502720001, 1150709464828, 9226178438625, 517816702027828, 4151759794661249, 233016365203057772, 1868282681419123425, 104856846524673969572 (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, 450, 0, -1).

FORMULA

G.f.: (28 +225*x +28*x^2 -x^3)/(1 -450*x^2 +x^4). - Vincenzo Librandi, Nov 26 2013

a(n) = 450*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 26 2013

MATHEMATICA

Numerator[Convergents[Sqrt[791], 30]] (* or *) CoefficientList[Series[(28 + 225 x + 28 x^2 - x^3)/(1 - 450 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 25 2013 *)

PROG

(MAGMA) I:=[28, 225, 12628, 101249]; [n le 4 select I[n] else 450*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 26 2013

CROSSREFS

Cf. A042525.

Sequence in context: A133071 A339137 A135180 * A125365 A126523 A115224

Adjacent sequences:  A042521 A042522 A042523 * A042525 A042526 A042527

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 20 22:20 EDT 2021. Contains 347596 sequences. (Running on oeis4.)