A042475 Denominators of continued fraction convergents to sqrt(765).

1, 1, 2, 3, 41, 249, 3278, 3527, 6805, 10332, 564733, 575065, 1139798, 1714863, 23433017, 142312965, 1873501562, 2015814527, 3889316089, 5905130616, 322766369353, 328671499969, 651437869322, 980109369291, 13392859670105, 81337267389921, 1070777335739078

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,571538,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -x^17 +2*x^16 -3*x^15 +41*x^14 -249*x^13 +3278*x^12 -3527*x^11 +6805*x^10 -10332*x^9 -6805*x^8 -3527*x^7 -3278*x^6 -249*x^5 -41*x^4 -3*x^3 -2*x^2 -x -1) / ((x^10 -756*x^5 -1)*(x^10 +756*x^5 -1)). - Colin Barker, Dec 15 2013

Mathematica

Denominator[Convergents[Sqrt[765], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042474, A040737.

Sequence in context: A215101 A094714 A200817 * A241277 A123993 A351820

Adjacent sequences: A042472 A042473 A042474 * A042476 A042477 A042478

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved