A041728 Numerators of continued fraction convergents to sqrt(384).

19, 20, 39, 98, 921, 1940, 2861, 4801, 185299, 190100, 375399, 940898, 8843481, 18627860, 27471341, 46099201, 1779240979, 1825340180, 3604581159, 9034502498, 84915103641, 178864709780, 263779813421, 442644523201, 17084271695059, 17526916218260

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,9602,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -19*x^14 +20*x^13 -39*x^12 +98*x^11 -921*x^10 +1940*x^9 -2861*x^8 -4801*x^7 -2861*x^6 -1940*x^5 -921*x^4 -98*x^3 -39*x^2 -20*x -19) / ((x^4 -4*x^3 +8*x^2 +4*x +1)*(x^4 -10*x^2 +1)*(x^4 +10*x^2 +1)*(x^4 +4*x^3 +8*x^2 -4*x +1)). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[384], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041729.

Sequence in context: A022109 A041730 A041732 * A041726 A041724 A041722

Adjacent sequences: A041725 A041726 A041727 * A041729 A041730 A041731

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved