A042263 Denominators of continued fraction convergents to sqrt(657).

1, 1, 2, 3, 8, 11, 19, 106, 125, 606, 731, 4261, 4992, 9253, 23498, 32751, 56249, 89000, 4506249, 4595249, 9101498, 13696747, 36494992, 50191739, 86686731, 483625394, 570312125, 2764873894, 3335186019, 19440803989, 22775990008, 42216793997

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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, 4562498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 4562498*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Jan 19 2014

Mathematica

Denominator[Convergents[Sqrt[657], 30]] (* Harvey P. Dale, May 09 2012 *)

Crossrefs

Cf. A042262.

Sequence in context: A113873 A007676 A042443 * A280323 A153439 A289752

Adjacent sequences: A042260 A042261 A042262 * A042264 A042265 A042266

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 19 2014

Status

approved