A041460 Numerators of continued fraction convergents to sqrt(246).

15, 16, 47, 251, 298, 4423, 4721, 28028, 60777, 88805, 2724927, 2813732, 8352391, 44575687, 52928078, 785568779, 838496857, 4978053064, 10794602985, 15772656049, 483974284455, 499746940504, 1483468165463, 7917087767819, 9400555933282, 139524870833767

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,177610,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -15*x^18 +16*x^17 -47*x^16 +251*x^15 -298*x^14 +4423*x^13 -4721*x^12 +28028*x^11 -60777*x^10 -88805*x^9 -60777*x^8 -28028*x^7 -4721*x^6 -4423*x^5 -298*x^4 -251*x^3 -47*x^2 -16*x -15) / (x^20 -177610*x^10 +1). - Colin Barker, Nov 18 2013

Mathematica

Numerator[Convergents[Sqrt[246], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

Crossrefs

Cf. A041461, A040230.

Sequence in context: A269459 A041462 A041464 * A041466 A332008 A152044

Adjacent sequences: A041457 A041458 A041459 * A041461 A041462 A041463

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 18 2013

Status

approved