A042486 Numerators of continued fraction convergents to sqrt(771).

27, 28, 111, 361, 833, 3693, 4526, 8219, 12745, 20964, 54673, 1497135, 3048943, 4546078, 7595021, 12141099, 19736120, 91085579, 201907278, 696807413, 2292329517, 2989136930, 163705723737, 166694860667

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, 5978273860, 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) = 5978273860*a(n-22) - a(n-44) for n>43. [Bruno Berselli, Nov 26 2013]

Mathematica

Numerator[Convergents[Sqrt[771], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042487.

Sequence in context: A042476 A045861 A042488 * A290276 A338447 A042492

Adjacent sequences: A042483 A042484 A042485 * A042487 A042488 A042489

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved