A042890 Numerators of continued fraction convergents to sqrt(977).

31, 94, 125, 1094, 5595, 6689, 12284, 43541, 317071, 360612, 677683, 5104393, 15990862, 21095255, 37086117, 206525840, 1689292837, 1895818677, 7376748868, 459254248493, 1385139494347, 1844393742840

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

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, 14753497736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Cf. A042891.

Programs

Mathematica

Numerator[Convergents[Sqrt[977], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Formula

a(n) = 14753497736*a(n-19) - a(n-38) for n > 37. [Bruno Berselli, Dec 08 2013]