A042371 Denominators of continued fraction convergents to sqrt(712).

1, 1, 3, 19, 41, 60, 3161, 3221, 9603, 60839, 131281, 192120, 10121521, 10313641, 30748803, 194806459, 420361721, 615168180, 32409107081, 33024275261, 98457657603, 623770220879, 1345998099361, 1969768320240, 103773950751841, 105743719072081

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,3202,0,0,0,0,0,-1).

Formula

G.f.: -(x^10-x^9+3*x^8-19*x^7+41*x^6-60*x^5-41*x^4-19*x^3-3*x^2-x-1) / (x^12-3202*x^6+1). - Colin Barker, Dec 09 2013

Mathematica

Denominator/@Convergents[Sqrt[712], 30] (* Harvey P. Dale, Jun 20 2011 *)
CoefficientList[Series[-(x^10 - x^9 + 3 x^8 - 19 x^7 + 41 x^6 - 60 x^5 - 41 x^4 - 19 x^3 - 3 x^2 - x - 1)/(x^12 - 3202 x^6 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042370, A040685.

Sequence in context: A167053 A131542 A227878 * A141644 A141170 A107154

Adjacent sequences: A042368 A042369 A042370 * A042372 A042373 A042374

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved