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A041906 Numerators of continued fraction convergents to sqrt(475). 2
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 (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, 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

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Last modified April 22 11:46 EDT 2019. Contains 322330 sequences. (Running on oeis4.)