A041908 Numerators of continued fraction convergents to sqrt(476).

21, 22, 109, 240, 2509, 5258, 23541, 28799, 1233099, 1261898, 6280691, 13823280, 144513491, 302850262, 1355914539, 1658764801, 71024036181, 72682800982, 361755240109, 796193281200, 8323688052109, 17443569385418, 78097965593781, 95541534979199

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, 57598, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -21*x^14 +22*x^13 -109*x^12 +240*x^11 -2509*x^10 +5258*x^9 -23541*x^8 -28799*x^7 -23541*x^6 -5258*x^5 -2509*x^4 -240*x^3 -109*x^2 -22*x -21) / ((x^8 -240*x^4 +1)*(x^8 +240*x^4 +1)). - Colin Barker, Nov 27 2013

Mathematica

Numerator[Convergents[Sqrt[476], 30]] (* Harvey P. Dale, Mar 27 2012 *)

Crossrefs

Cf. A041909, A040454.

Sequence in context: A041896 A041906 A041904 * A055662 A041910 A041912

Adjacent sequences: A041905 A041906 A041907 * A041909 A041910 A041911

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved