A041710 Numerators of continued fraction convergents to sqrt(375).

19, 39, 58, 155, 213, 1220, 1433, 4086, 5519, 15124, 580231, 1175586, 1755817, 4687220, 6443037, 36902405, 43345442, 123593289, 166938731, 457470751, 17550827269, 35559125289, 53109952558, 141779030405, 194888982963, 1116223945220, 1311112928183

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, 30248, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -19*x^18 +39*x^17 -58*x^16 +155*x^15 -213*x^14 +1220*x^13 -1433*x^12 +4086*x^11 -5519*x^10 -15124*x^9 -5519*x^8 -4086*x^7 -1433*x^6 -1220*x^5 -213*x^4 -155*x^3 -58*x^2 -39*x -19) / ((x^4 -8*x^2 +1)*(x^16 +8*x^14 +63*x^12 +496*x^10 +3905*x^8 +496*x^6 +63*x^4 +8*x^2 +1)). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[375], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041711.

Sequence in context: A318260 A050813 A041712 * A042629 A041708 A079044

Adjacent sequences: A041707 A041708 A041709 * A041711 A041712 A041713

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved