A042017 Denominators of continued fraction convergents to sqrt(532).

1, 15, 31, 46, 215, 476, 2119, 2595, 7309, 112230, 5169889, 77660565, 160491019, 238151584, 1113097355, 2464346294, 10970482531, 13434828825, 37840140181, 581036931540, 26765538991021, 402064121796855, 830893782584731, 1232957904381586, 5762725400111075

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,5177198,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -15*x^17 +31*x^16 -46*x^15 +215*x^14 -476*x^13 +2119*x^12 -2595*x^11 +7309*x^10 -112230*x^9 -7309*x^8 -2595*x^7 -2119*x^6 -476*x^5 -215*x^4 -46*x^3 -31*x^2 -15*x -1) / (x^20 -5177198*x^10 +1). - Colin Barker, Nov 29 2013

Mathematica

Denominator[Convergents[Sqrt[532], 30]] (* Vincenzo Librandi, Jan 12 2014 *)

Crossrefs

Cf. A042016, A040508.

Sequence in context: A362986 A041442 A041440 * A043346 A023719 A031467

Adjacent sequences: A042014 A042015 A042016 * A042018 A042019 A042020

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 29 2013

Status

approved