A041342 Numerators of continued fraction convergents to sqrt(185).

13, 14, 27, 41, 68, 1809, 1877, 3686, 5563, 9249, 246037, 255286, 501323, 756609, 1257932, 33462841, 34720773, 68183614, 102904387, 171088001, 4551192413, 4722280414, 9273472827, 13995753241, 23269226068, 618995631009, 642264857077, 1261260488086

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,136,0,0,0,0,1).

Formula

G.f.: -(x^9-13*x^8+14*x^7-27*x^6+41*x^5+68*x^4+41*x^3+27*x^2+14*x+13) / (x^10+136*x^5-1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[185], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041343.

Sequence in context: A301660 A022103 A224224 * A041344 A041340 A041338

Adjacent sequences: A041339 A041340 A041341 * A041343 A041344 A041345

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved