A042357 Denominators of continued fraction convergents to sqrt(705).

1, 1, 2, 9, 29, 299, 926, 4003, 4929, 8932, 469393, 478325, 947718, 4269197, 13755309, 141822287, 439222170, 1898710967, 2337933137, 4236644104, 222643426545, 226880070649, 449523497194, 2024974059425, 6524445675469, 67269430814115, 208332738117814

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, 474322, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +2*x^16 -9*x^15 +29*x^14 -299*x^13 +926*x^12 -4003*x^11 +4929*x^10 -8932*x^9 -4929*x^8 -4003*x^7 -926*x^6 -299*x^5 -29*x^4 -9*x^3 -2*x^2 -x -1) / (x^20 -474322*x^10 +1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[705], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042356, A040678.

Sequence in context: A151306 A150904 A122675 * A079783 A182975 A228932

Adjacent sequences: A042354 A042355 A042356 * A042358 A042359 A042360

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved