A042756 Numerators of continued fraction convergents to sqrt(909).

30, 181, 211, 603, 3829, 8261, 12090, 80801, 4860150, 29241701, 34101851, 97445403, 618774269, 1334993941, 1953768210, 13057603201, 785409960270, 4725517364821, 5510927325091, 15747372015003, 99995159415109, 215737690845221, 315732850260330

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, 161602, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -30*x^14 +181*x^13 -211*x^12 +603*x^11 -3829*x^10 +8261*x^9 -12090*x^8 -80801*x^7 -12090*x^6 -8261*x^5 -3829*x^4 -603*x^3 -211*x^2 -181*x -30) / ((x^4 -20*x^2 -1)*(x^4 +20*x^2 -1)*(x^8 +402*x^4 +1)). - Colin Barker, Dec 23 2013

Mathematica

Numerator[Convergents[Sqrt[909], 30]] (* Vincenzo Librandi, Dec 04 2013 *)

Crossrefs

Cf. A042757, A040878.

Sequence in context: A331434 A054559 A335634 * A281999 A156318 A042758

Adjacent sequences: A042753 A042754 A042755 * A042757 A042758 A042759

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved