A042373 Denominators of continued fraction convergents to sqrt(713).

1, 1, 3, 7, 10, 47, 292, 631, 4078, 16943, 21021, 58985, 138991, 197976, 10433743, 10631719, 31697181, 74026081, 105723262, 496919129, 3087238036, 6671395201, 43115609242, 179133832169, 222249441411, 623632714991, 1469514871393, 2093147586384, 110313189363361

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, 10572734, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 10572734*a(n-14) - a(n-28). - Wesley Ivan Hurt, Sep 07 2022

Mathematica

Denominator[Convergents[Sqrt[713], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042372.

Sequence in context: A041899 A101397 A042229 * A265686 A042775 A229596

Adjacent sequences: A042370 A042371 A042372 * A042374 A042375 A042376

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 20 2014

Status

approved