A041870 Numerators of continued fraction convergents to sqrt(457).

21, 43, 64, 107, 171, 962, 2095, 28197, 30292, 119073, 149365, 716533, 865898, 1582431, 7195622, 8778053, 33529781, 42307834, 583531623, 1209371080, 6630387023, 7839758103, 14470145126, 22309903229

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, 0, 0, 118179903168, 0, 0, 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) = 118179903168*a(n-25) + a(n-50) for n>49. [Bruno Berselli, Nov 11 2013]

Mathematica

Numerator[Convergents[Sqrt[457], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041871.

Sequence in context: A043947 A335477 A263877 * A041868 A135391 A118569

Adjacent sequences: A041867 A041868 A041869 * A041871 A041872 A041873

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved