A041340 Numerators of continued fraction convergents to sqrt(184).

13, 14, 27, 95, 217, 312, 841, 1153, 3147, 10594, 13741, 24335, 646451, 670786, 1317237, 4622497, 10562231, 15184728, 40931687, 56116415, 153164517, 515609966, 668774483, 1184384449, 31462770157, 32647154606, 64109924763, 224976928895, 514063782553

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, 48670, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^23 -13*x^22 +14*x^21 -27*x^20 +95*x^19 -217*x^18 +312*x^17 -841*x^16 +1153*x^15 -3147*x^14 +10594*x^13 -13741*x^12 -24335*x^11 -13741*x^10 -10594*x^9 -3147*x^8 -1153*x^7 -841*x^6 -312*x^5 -217*x^4 -95*x^3 -27*x^2 -14*x -13) / (x^24 -48670*x^12 +1). - Colin Barker, Nov 15 2013

a(n) = 48670*a(n-12) - a(n-24). - Wesley Ivan Hurt, Jun 22 2022

Mathematica

Numerator[Convergents[Sqrt[184], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A010226, A041341.

Sequence in context: A224224 A041342 A041344 * A041338 A042411 A167996

Adjacent sequences: A041337 A041338 A041339 * A041341 A041342 A041343

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 15 2013

Status

approved