A041298 Numerators of continued fraction convergents to sqrt(162).

12, 13, 38, 51, 140, 1731, 3602, 5333, 14268, 19601, 484692, 504293, 1493278, 1997571, 5488420, 67858611, 141205642, 209064253, 559334148, 768398401, 19000895772, 19769294173, 58539484118, 78308778291, 215157040700, 2660193266691, 5535543574082

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -12*x^18 +13*x^17 -38*x^16 +51*x^15 -140*x^14 +1731*x^13 -3602*x^12 +5333*x^11 -14268*x^10 -19601*x^9 -14268*x^8 -5333*x^7 -3602*x^6 -1731*x^5 -140*x^4 -51*x^3 -38*x^2 -13*x -12) / ((x^10 -198*x^5 +1)*(x^10 +198*x^5 +1)). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[162], 30]] (* Harvey P. Dale, Nov 28 2011 *)

Crossrefs

Cf. A001112.

Sequence in context: A342942 A322462 A037304 * A041689 A041296 A091908

Adjacent sequences: A041295 A041296 A041297 * A041299 A041300 A041301

Keyword

nonn,frac,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved