A042183 Denominators of continued fraction convergents to sqrt(616).

1, 1, 5, 6, 11, 72, 83, 155, 703, 858, 41887, 42745, 212867, 255612, 468479, 3066486, 3534965, 6601451, 29940769, 36542220, 1783967329, 1820509549, 9066005525, 10886515074, 19952520599, 130601638668, 150554159267, 281155797935, 1275177351007, 1556333148942

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,42590,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 - x^17 + 5*x^16 - 6*x^15 + 11*x^14 - 72*x^13 + 83*x^12 - 155*x^11 + 703*x^10 - 858*x^9 - 703*x^8 - 155*x^7 - 83*x^6 - 72*x^5 - 11*x^4 - 6*x^3 - 5*x^2 - x - 1) / (x^20 - 42590*x^10 + 1). - Colin Barker, Dec 03 2013

Mathematica

Denominator[Convergents[Sqrt[616], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

Crossrefs

Cf. A042182, A040591.

Sequence in context: A041050 A332523 A041227 * A362020 A328544 A041939

Adjacent sequences: A042180 A042181 A042182 * A042184 A042185 A042186

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved