A042157 Denominators of continued fraction convergents to sqrt(603).

1, 1, 2, 7, 9, 214, 223, 883, 1106, 1989, 96578, 98567, 195145, 684002, 879147, 20904383, 21783530, 86254973, 108038503, 194293476, 9434125351, 9628418827, 19062544178, 66816051361, 85878595539, 2042023748758, 2127902344297, 8425730781649, 10553633125946

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, 97684, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +2*x^16 -7*x^15 +9*x^14 -214*x^13 +223*x^12 -883*x^11 +1106*x^10 -1989*x^9 -1106*x^8 -883*x^7 -223*x^6 -214*x^5 -9*x^4 -7*x^3 -2*x^2 -x -1) / (x^20 -97684*x^10 +1). - Colin Barker, Nov 19 2013

a(n) = 97684*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 16 2014

Mathematica

Denominator[Convergents[Sqrt[603], 30]] (* Harvey P. Dale, Mar 20 2013 *)

Crossrefs

Cf. A042156, A040578.

Sequence in context: A252661 A362858 A041453 * A012937 A022414 A319932

Adjacent sequences: A042154 A042155 A042156 * A042158 A042159 A042160

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 19 2013

Status

approved