A041913 Denominators of continued fraction convergents to sqrt(478).

1, 1, 7, 22, 95, 117, 212, 1177, 1389, 3955, 13254, 17209, 30463, 47672, 78135, 125807, 1713626, 1839433, 38502286, 40341719, 562944633, 603286352, 1166230985, 1769517337, 2935748322, 4705265659, 17051545299, 38808356257, 55859901556, 318107864037

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3234639155983486, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 3234639155983486*a(n-36) - a(n-72) for n>71. [Bruno Berselli, Dec 27 2013]

Mathematica

Denominator[Convergents[Sqrt[478], 30]] (* Vincenzo Librandi, Dec 27 2013 *)

Crossrefs

Cf. A041912.

Sequence in context: A302724 A305083 A231214 * A231339 A222178 A117110

Adjacent sequences: A041910 A041911 A041912 * A041914 A041915 A041916

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 27 2013

Status

approved