A042482 Numerators of continued fraction convergents to sqrt(769).

27, 28, 83, 111, 305, 416, 721, 12673, 13394, 146613, 893072, 1039685, 6091497, 19314176, 64034025, 147382226, 211416251, 358798477, 570214728, 929013205, 1499227933, 2428241138, 6355710209, 21495371765

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, 32734748155099080, 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) = 32734748155099080*a(n-37) + a(n-74) for n>73. [Bruno Berselli, Nov 26 2013]

Mathematica

Numerator[Convergents[Sqrt[769], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042483.

Sequence in context: A042458 A141490 A242184 * A042484 A042480 A042478

Adjacent sequences: A042479 A042480 A042481 * A042483 A042484 A042485

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved