A042880 Numerators of continued fraction convergents to sqrt(972).

31, 156, 187, 343, 530, 4053, 24848, 28901, 111551, 140452, 2077879, 2218331, 8732872, 10951203, 74440090, 532031833, 606471923, 1138503756, 1744975679, 9863382151, 613274669041, 3076236727356

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, 19726764302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 19726764302*a(n-20) - a(n-40) for n > 39. [Bruno Berselli, Dec 08 2013]

Mathematica

Numerator[Convergents[Sqrt[972], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042881.

Sequence in context: A104049 A176922 A134553 * A042882 A045160 A142906

Adjacent sequences: A042877 A042878 A042879 * A042881 A042882 A042883

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved