A042479 Denominators of continued fraction convergents to sqrt(767).

1, 1, 3, 10, 13, 23, 36, 59, 95, 344, 783, 1127, 61641, 62768, 187177, 624299, 811476, 1435775, 2247251, 3683026, 5930277, 21473857, 48877991, 70351848, 3847877783, 3918229631, 11684337045, 38971240766, 50655577811, 89626818577, 140282396388, 229909214965

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, 0, 0, 62424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^22 -x^21 +3*x^20 -10*x^19 +13*x^18 -23*x^17 +36*x^16 -59*x^15 +95*x^14 -344*x^13 +783*x^12 -1127*x^11 -783*x^10 -344*x^9 -95*x^8 -59*x^7 -36*x^6 -23*x^5 -13*x^4 -10*x^3 -3*x^2 -x -1) / (x^24 -62424*x^12 +1). - Colin Barker, Dec 15 2013

Mathematica

Denominator[Convergents[Sqrt[767], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042478, A040739.

Sequence in context: A229483 A235089 A022122 * A042897 A041169 A068361

Adjacent sequences: A042476 A042477 A042478 * A042480 A042481 A042482

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved