A042250 Numerators of continued fraction convergents to sqrt(651).

25, 26, 51, 842, 893, 1735, 87643, 89378, 177021, 2921714, 3098735, 6020449, 304121185, 310141634, 614262819, 10138346738, 10752609557, 20890956295, 1055300424307, 1076191380602, 2131491804909, 35180060259146, 37311552064055, 72491612323201, 3661892168224105

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, 3470, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -25*x^10 +26*x^9 -51*x^8 +842*x^7 -893*x^6 -1735*x^5 -893*x^4 -842*x^3 -51*x^2 -26*x -25) / (x^12 -3470*x^6 +1). - Colin Barker, Dec 05 2013

Mathematica

Numerator[Convergents[Sqrt[651], 30]] (* Vincenzo Librandi, Nov 20 2013 *)

Crossrefs

Cf. A042251, A040625.

Sequence in context: A042258 A042254 A042252 * A042272 A042274 A042270

Adjacent sequences: A042247 A042248 A042249 * A042251 A042252 A042253

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 05 2013

Status

approved