A041718 Numerators of continued fraction convergents to sqrt(379).

19, 39, 292, 915, 2122, 5159, 33076, 402071, 435147, 2142659, 2577806, 4720465, 7298271, 26615278, 113759383, 2188043555, 8865933603, 28785844364, 37651777967, 66437622331, 104089400298, 482795223523

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, 0, 0, 25882394441081380, 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, 0, 0, -1).

Formula

a(n) = 25882394441081380*a(n-30) - a(n-60) for n>59. [Bruno Berselli, Nov 06 2013]

Mathematica

Numerator[Convergents[Sqrt[379], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041719.

Sequence in context: A299964 A041714 A041716 * A041720 A098850 A264537

Adjacent sequences: A041715 A041716 A041717 * A041719 A041720 A041721

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved