A042034 Numerators of continued fraction convergents to sqrt(541).

23, 70, 93, 535, 628, 5559, 11746, 52543, 64289, 181121, 607652, 788773, 1396425, 16149448, 243638145, 503425738, 1250489621, 1753915359, 3004404980, 4758320339, 7762725319, 12521045658

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2723032632938454900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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) = 2723032632938454900*a(n-39) + a(n-78) for n>77. [Bruno Berselli, Nov 15 2013]

Mathematica

Numerator[Convergents[Sqrt[541], 30]]  (* Vincenzo Librandi, Nov 14 2013 *)

Crossrefs

Cf. A042035.

Sequence in context: A134428 A195039 A042036 * A042038 A116333 A042040

Adjacent sequences: A042031 A042032 A042033 * A042035 A042036 A042037

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved