A042878 Numerators of continued fraction convergents to sqrt(971).

31, 187, 779, 966, 1745, 2711, 7167, 38546, 122805, 284156, 3532677, 109797143, 1321098393, 2751993929, 9577080180, 50637394829, 110851869838, 161489264667, 272341134505, 433830399172, 2007662731193

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, 24959613572660, 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) = 24959613572660*a(n-22) - a(n-44) for n > 43. - Vincenzo Librandi, Feb 01 2014

Mathematica

Numerator[Convergents[Sqrt[971], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042879, A040939.

Sequence in context: A227523 A055788 A042876 * A165130 A229145 A261354

Adjacent sequences: A042875 A042876 A042877 * A042879 A042880 A042881

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Status

approved