A042410 Numerators of continued fraction convergents to sqrt(733).

27, 352, 379, 731, 9882, 534359, 6956549, 7490908, 14447457, 195307849, 10561071303, 137489234788, 148050306091, 285539540879, 3860064337518, 208729013766851, 2717337243306581, 2926066257073432, 5643403500380013, 76290311762013601

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, 19764, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9 -27*x^8 +352*x^7 -379*x^6 +731*x^5+9882*x^4 +731*x^3 +379*x^2+352*x +27) / (x^10 +19764*x^5 -1). - Colin Barker, Dec 11 2013

Mathematica

Numerator[Convergents[Sqrt[733], 30]] (* Harvey P. Dale, Oct 02 2012 *)

Crossrefs

Cf. A042411, A040705.

Sequence in context: A030648 A223278 A278091 * A110207 A223205 A257786

Adjacent sequences: A042407 A042408 A042409 * A042411 A042412 A042413

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 11 2013

Status

approved