A042379 Denominators of continued fraction convergents to sqrt(716).

1, 1, 4, 29, 62, 91, 153, 1009, 10243, 11252, 21495, 97232, 215959, 313191, 3974251, 4287442, 12549135, 54483982, 67033117, 121517099, 1282204107, 7814741741, 9096945848, 16911687589, 42920321026, 317353934771, 994982125339, 1312336060110, 69236457251059

Offset

0,3

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, 70231439376398, 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) = 70231439376398*a(n-28) - a(n-56) for n>55. - Vincenzo Librandi, Jan 21 2014

Mathematica

Denominator[Convergents[Sqrt[716], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

Crossrefs

Cf. A042378.

Sequence in context: A042597 A255635 A280854 * A184301 A192025 A288542

Adjacent sequences: A042376 A042377 A042378 * A042380 A042381 A042382

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 21 2014

Status

approved