A042063 Denominators of continued fraction convergents to sqrt(555).

1, 1, 2, 7, 9, 34, 43, 77, 3585, 3662, 7247, 25403, 32650, 123353, 156003, 279356, 13006379, 13285735, 26292114, 92162077, 118454191, 447524650, 565978841, 1013503491, 47187139427, 48200642918, 95387782345, 334363989953, 429751772298, 1623619306847

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, 3628, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +2*x^12 -7*x^11 +9*x^10 -34*x^9 +43*x^8 -77*x^7 -43*x^6 -34*x^5 -9*x^4 -7*x^3 -2*x^2 -x -1) / (x^16 -3628*x^8 +1). - Colin Barker, Dec 01 2013

Mathematica

Denominator[Convergents[Sqrt[555], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042062, A040531.

Sequence in context: A033855 A126871 A125770 * A360734 A041717 A002353

Adjacent sequences: A042060 A042061 A042062 * A042064 A042065 A042066

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 01 2013

Status

approved