A042564 Numerators of continued fraction convergents to sqrt(811).

28, 57, 598, 655, 5838, 6493, 12331, 31155, 43486, 74641, 118127, 429022, 2692259, 48889684, 51581943, 255217456, 306799399, 868816254, 1175615653, 32610438885, 33786054538, 100182547961, 133968602499

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, 0, 2764144327157232820, 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, 0, -1).

Formula

a(n) = 2764144327157232820*a(n-38) - a(n-76) for n>75. [Bruno Berselli, Nov 26 2013]

Mathematica

Numerator[Convergents[Sqrt[811], 30]] (* Harvey P. Dale, Jul 31 2013 *)

Crossrefs

Cf. A042565.

Sequence in context: A042556 A042560 A042562 * A219920 A219216 A042566

Adjacent sequences: A042561 A042562 A042563 * A042565 A042566 A042567

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved