A042692 Numerators of continued fraction convergents to sqrt(876).

29, 30, 59, 148, 2131, 4410, 6541, 10951, 641699, 652650, 1294349, 3241348, 46673221, 96587790, 143261011, 239848801, 14054491469, 14294340270, 28348831739, 70992003748, 1022236884211, 2115465772170, 3137702656381, 5253168428551, 307821471512339

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,21902,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -29*x^14 +30*x^13 -59*x^12 +148*x^11 -2131*x^10 +4410*x^9 -6541*x^8 -10951*x^7 -6541*x^6 -4410*x^5 -2131*x^4 -148*x^3 -59*x^2 -30*x -29) / ((x^8 -148*x^4 +1)*(x^8 +148*x^4 +1)). - Colin Barker, Dec 21 2013

Mathematica

Numerator[Convergents[Sqrt[876], 30]] (* Vincenzo Librandi, Dec 01 2013 *)

Crossrefs

Cf. A042693, A040846.

Sequence in context: A042698 A042700 A042690 * A042688 A042686 A042684

Adjacent sequences: A042689 A042690 A042691 * A042693 A042694 A042695

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 21 2013

Status

approved