A041454 Numerators of continued fraction convergents to sqrt(243).

15, 16, 31, 78, 265, 4053, 12424, 28901, 41325, 70226, 2148105, 2218331, 4366436, 10951203, 37220045, 569251878, 1744975679, 4059203236, 5804178915, 9863382151, 301705643445, 311569025596, 613274669041, 1538118363678, 5227629760075, 79952564764803

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,140452,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -15*x^18 +16*x^17 -31*x^16 +78*x^15 -265*x^14 +4053*x^13 -12424*x^12 +28901*x^11 -41325*x^10 -70226*x^9 -41325*x^8 -28901*x^7 -12424*x^6 -4053*x^5 -265*x^4 -78*x^3 -31*x^2 -16*x -15) / (x^20 -140452*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[243], 30]] (* Vincenzo Librandi, Nov 02 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 140452, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {15, 16, 31, 78, 265, 4053, 12424, 28901, 41325, 70226, 2148105, 2218331, 4366436, 10951203, 37220045, 569251878, 1744975679, 4059203236, 5804178915, 9863382151}, 40] (* Harvey P. Dale, Aug 10 2021 *)

Crossrefs

Cf. A041455.

Sequence in context: A022105 A041456 A041458 * A041452 A041450 A042867

Adjacent sequences: A041451 A041452 A041453 * A041455 A041456 A041457

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved