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A042518 Numerators of continued fraction convergents to sqrt(788). 2
28, 393, 22036, 308897, 17320268, 242792649, 13613708612, 190834713217, 10700357648764, 149995841795913, 8410467498219892, 117896540816874401, 6610616753243186348, 92666531086221483273, 5195936357581646249636 (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, 786, 0, -1).

FORMULA

G.f.: (28 + 393*x + 28*x^2 - x^3)/(1 - 786*x^2 + x^4). - Vincenzo Librandi, Nov 26 2013

a(n) = 786*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 26 2013

MATHEMATICA

Numerator[Convergents[Sqrt[788], 30]] (* or *) CoefficientList[Series[(28 + 393 x + 28 x^2 - x^3)/(1 - 786 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 25 2013 *)

PROG

(MAGMA) I:=[28, 393, 22036, 308897]; [n le 4 select I[n] else 786*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 26 2013

CROSSREFS

Cf. A042519.

Sequence in context: A126921 A035709 A035476 * A297179 A269255 A125463

Adjacent sequences:  A042515 A042516 A042517 * A042519 A042520 A042521

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 18 03:02 EST 2022. Contains 350410 sequences. (Running on oeis4.)