A042322 Numerators of continued fraction convergents to sqrt(688).

26, 105, 236, 341, 1941, 13928, 43725, 320003, 1643740, 1963743, 5571226, 24248647, 1266500870, 5090252127, 11447005124, 16537257251, 94133291379, 675470296904, 2120544182091, 15519279571541

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, 48497294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 48497294*a(n-12) - a(n-24). - Wesley Ivan Hurt, Jun 12 2026

Mathematica

Numerator[Convergents[Sqrt[688], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042323.

Sequence in context: A333055 A244633 A042320 * A042324 A381276 A044277

Adjacent sequences: A042319 A042320 A042321 * A042323 A042324 A042325

Keyword

nonn,cofr,frac,easy,changed

Author

N. J. A. Sloane

Status

approved