A042635 Denominators of continued fraction convergents to sqrt(847).

1, 9, 10, 29, 184, 1501, 9190, 19881, 29071, 281520, 16357231, 147496599, 163853830, 475204259, 3015079384, 24595839331, 150590115370, 325776070071, 476366185441, 4613071739040, 268034527049761, 2416923815186889, 2684958342236650, 7786840499660189

Offset

0,2

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, 16386302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -9*x^17 +10*x^16 -29*x^15 +184*x^14 -1501*x^13 +9190*x^12 -19881*x^11 +29071*x^10 -281520*x^9 -29071*x^8 -19881*x^7 -9190*x^6 -1501*x^5 -184*x^4 -29*x^3 -10*x^2 -9*x -1) / ((x^10 -4048*x^5 +1)*(x^10 +4048*x^5 +1)). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[847], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A042634, A040817.

Sequence in context: A189047 A041170 A041168 * A045483 A007252 A322653

Adjacent sequences: A042632 A042633 A042634 * A042636 A042637 A042638

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved