A041452 Numerators of continued fraction convergents to sqrt(242).

15, 16, 31, 109, 140, 2069, 2209, 8696, 10905, 19601, 598935, 618536, 1217471, 4270949, 5488420, 81108829, 86597249, 340900576, 427497825, 768398401, 23479449855, 24247848256, 47727298111, 167429742589, 215157040700, 3179628312389, 3394785353089

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 -15*x^18 +16*x^17 -31*x^16 +109*x^15 -140*x^14 +2069*x^13 -2209*x^12 +8696*x^11 -10905*x^10 -19601*x^9 -10905*x^8 -8696*x^7 -2209*x^6 -2069*x^5 -140*x^4 -109*x^3 -31*x^2 -16*x -15) / ((x^10 -198*x^5 +1)*(x^10 +198*x^5 +1)). - Colin Barker, Nov 17 2013

Mathematica

Numerator[Convergents[Sqrt[242], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

Crossrefs

Cf. A041453, A040226.

Sequence in context: A041456 A041458 A041454 * A041450 A042867 A296863

Adjacent sequences: A041449 A041450 A041451 * A041453 A041454 A041455

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 17 2013

Status

approved