A042522 Numerators of continued fraction convergents to sqrt(790).

28, 253, 534, 787, 4469, 5256, 9725, 34431, 147449, 181880, 874969, 1056849, 5102365, 16363944, 21466309, 37830253, 210617574, 248447827, 707513228, 6616066879, 371207258452, 3347481392947, 7066170044346

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, 13232133758, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 13232133758*a(n-20) - a(n-40) for n>39. [Bruno Berselli, Nov 26 2013]

Mathematica

Numerator[Convergents[Sqrt[790], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042523.

Sequence in context: A188526 A219600 A092341 * A025517 A222267 A240003

Adjacent sequences: A042519 A042520 A042521 * A042523 A042524 A042525

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved