A042378 Numerators of continued fraction convergents to sqrt(716).

26, 27, 107, 776, 1659, 2435, 4094, 26999, 274084, 301083, 575167, 2601751, 5778669, 8380420, 106343709, 114724129, 335791967, 1457891997, 1793683964, 3251575961, 34309443574, 209108237405

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, 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. [Bruno Berselli, Nov 22 2013]

Mathematica

Numerator[Convergents[Sqrt[716], 30]] (* Vincenzo Librandi, Nov 22 2013 *)

Crossrefs

Cf. A042379.

Sequence in context: A042370 A042382 A042380 * A042386 A042384 A042388

Adjacent sequences: A042375 A042376 A042377 * A042379 A042380 A042381

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved