A042206 Numerators of continued fraction convergents to sqrt(629).

25, 301, 326, 627, 7850, 393127, 4725374, 5118501, 9843875, 123245001, 6172093925, 74188372101, 80360466026, 154548838127, 1934946523550, 96901875015627, 1164757446711074, 1261659321726701, 2426416768437775

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, 0, 15700, 0, 0, 0, 0, 1).

Formula

G.f.: (25 +301*x +326*x^2 +627*x^3 +7850*x^4 +627*x^5 -326*x^6 +301*x^7 -25*x^8 +x^9) / (1 -15700*x^5 -x^10). [Bruno Berselli, Nov 19 2013]

Mathematica

Numerator/@Convergents[Sqrt[629], 30] (* Harvey P. Dale, May 02 2011 *)

Crossrefs

Cf. A042207.

Sequence in context: A010941 A022620 A367457 * A269448 A128377 A171445

Adjacent sequences: A042203 A042204 A042205 * A042207 A042208 A042209

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved