A041645 Denominators of continued fraction convergents to sqrt(341).

1, 2, 13, 15, 133, 281, 414, 1109, 1523, 4155, 34763, 38918, 268271, 575460, 20984831, 42545122, 276255563, 318800685, 2826661043, 5972122771, 8798783814, 23569690399, 32368474213, 88306638825, 738821584813, 827128223638, 5701590926641, 12230310076920

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, 0, 0, 0, 0, 21253102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Mathematica

Denominator[Convergents[Sqrt[341], 30]] (* Vincenzo Librandi, Dec 22 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21253102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 13, 15, 133, 281, 414, 1109, 1523, 4155, 34763, 38918, 268271, 575460, 20984831, 42545122, 276255563, 318800685, 2826661043, 5972122771, 8798783814, 23569690399, 32368474213, 88306638825, 738821584813, 827128223638, 5701590926641, 12230310076920}, 30]  (* Harvey P. Dale, Dec 29 2024 *)

Crossrefs

Cf. A041644.

Sequence in context: A295336 A042253 A381125 * A318999 A032453 A298295

Adjacent sequences: A041642 A041643 A041644 * A041646 A041647 A041648

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 22 2013

Status

approved