A041747 Denominators of continued fraction convergents to sqrt(393).

1, 1, 5, 6, 17, 74, 91, 165, 256, 421, 5308, 5729, 11037, 16766, 27803, 127978, 283759, 411737, 1930707, 2342444, 90943579, 93286023, 464087671, 557373694, 1578835059, 6872713930, 8451548989, 15324262919, 23775811908, 39100074827, 492976709832

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, 92874286, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 92874286*a(n-20) - a(n-40) for n>39. - Vincenzo Librandi, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[393], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

Crossrefs

Cf. A041746.

Sequence in context: A094425 A078981 A041555 * A180134 A192727 A056519

Adjacent sequences: A041744 A041745 A041746 * A041748 A041749 A041750

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 23 2013

Status

approved