A042323 Denominators of continued fraction convergents to sqrt(688).

1, 4, 9, 13, 74, 531, 1667, 12200, 62667, 74867, 212401, 924471, 48284893, 194064043, 436412979, 630477022, 3588798089, 25752063645, 80844989024, 591666986813, 3039179923089, 3630846909902, 10300873742893, 44834341881474, 2341686651579541, 9411580948199638

Offset

0,2

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, 48497294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 48497294*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Jan 20 2014

Mathematica

Denominator[Convergents[Sqrt[688], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042322 (numerators).

Sequence in context: A319217 A041028 A041211 * A042083 A264733 A102776

Adjacent sequences: A042320 A042321 A042322 * A042324 A042325 A042326

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 20 2014

Status

approved