A042646 Numerators of continued fraction convergents to sqrt(853).

29, 117, 146, 847, 993, 2833, 12325, 15158, 27483, 399920, 7625963, 15651846, 38929655, 755315291, 10613343729, 11368659020, 21982002749, 99296670016, 220575342781, 319872012797, 1819935406766, 2139807419563

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20758330170036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 20758330170036*a(n-23) + a(n-46). - Wesley Ivan Hurt, Feb 15 2026

Mathematica

Numerator[Convergents[Sqrt[853], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

Crossrefs

Cf. A042647.

Sequence in context: A225928 A097461 A244635 * A188359 A042648 A233046

Adjacent sequences: A042643 A042644 A042645 * A042647 A042648 A042649

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved