A041451 Denominators of continued fraction convergents to sqrt(241).

1, 1, 2, 19, 21, 124, 393, 1303, 1696, 2999, 10693, 35078, 186083, 221161, 2176532, 2397693, 4574225, 139624443, 144198668, 283823111, 2698606667, 2982429778, 17610755557, 55814696449, 185054844904, 240869541353, 425924386257, 1518642700124, 4981852486629

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, 142022136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 142022136*a(n-17) + a(n-34) for n>33. - Vincenzo Librandi, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[241], 30]] (* Harvey P. Dale, Jul 12 2013 *)

Crossrefs

Cf. A041450.

Sequence in context: A370460 A022119 A042247 * A268492 A130112 A019348

Adjacent sequences: A041448 A041449 A041450 * A041452 A041453 A041454

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 18 2013

Status

approved