A041906 Numerators of continued fraction convergents to sqrt(475).

21, 22, 87, 109, 741, 1591, 10287, 11878, 45921, 57799, 2473479, 2531278, 10067313, 12598591, 85658859, 183916309, 1189156713, 1373073022, 5308375779, 6681448801, 285929225421, 292610674222, 1163761248087, 1456371922309, 9901992781941, 21260357486191

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, 115598, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -21*x^18 +22*x^17 -87*x^16 +109*x^15 -741*x^14 +1591*x^13 -10287*x^12 +11878*x^11 -45921*x^10 -57799*x^9 -45921*x^8 -11878*x^7 -10287*x^6 -1591*x^5 -741*x^4 -109*x^3 -87*x^2 -22*x -21) / ((x^10 -340*x^5 +1)*(x^10 +340*x^5 +1)). - Colin Barker, Nov 27 2013

Mathematica

Numerator[Convergents[Sqrt[475], 30]] (* Harvey P. Dale, Apr 22 2012 *)

Crossrefs

Cf. A041907, A040453.

Sequence in context: A041902 A041898 A041896 * A041904 A041908 A055662

Adjacent sequences: A041903 A041904 A041905 * A041907 A041908 A041909

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved