A042391 Denominators of continued fraction convergents to sqrt(722).

1, 1, 7, 8, 23, 77, 177, 4679, 9535, 33284, 76103, 109387, 732425, 841812, 44506649, 45348461, 316597415, 361945876, 1040489167, 3483413377, 8007315921, 211673627323, 431354570567, 1505737339024, 3442829248615, 4948566587639, 33134228774449

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, 45239074, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 45239074*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 21 2014

Mathematica

Denominator[Convergents[Sqrt[722], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

Crossrefs

Cf. A042390.

Sequence in context: A042845 A295337 A041104 * A042023 A041102 A136116

Adjacent sequences: A042388 A042389 A042390 * A042392 A042393 A042394

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 21 2014

Status

approved