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A041710 Numerators of continued fraction convergents to sqrt(375). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 23 06:08 EDT 2019. Contains 322381 sequences. (Running on oeis4.)