A042929 Denominators of continued fraction convergents to sqrt(996).

1, 1, 2, 7, 9, 25, 59, 84, 143, 227, 1051, 1278, 2329, 3607, 9543, 22693, 32236, 119401, 151637, 271038, 16955993, 17227031, 34183024, 119776103, 153959127, 427694357, 1009347841, 1437042198, 2446390039, 3883432237, 17980118987, 21863551224

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17107630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 17107630*a(n-20) - a(n-40) for n > 39. - Vincenzo Librandi, Feb 01 2014

Mathematica

Denominator[Convergents[Sqrt[996], 30]] (* Vincenzo Librandi, Feb 01 2014 *)

Crossrefs

Cf. A042928, A040964.

Sequence in context: A065139 A093916 A042451 * A082962 A041197 A080157

Adjacent sequences: A042926 A042927 A042928 * A042930 A042931 A042932

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Feb 01 2014

Status

approved