A042765 Denominators of continued fraction convergents to sqrt(913).

1, 4, 5, 9, 14, 37, 51, 88, 579, 4141, 8861, 21863, 424258, 446121, 1316500, 1762621, 8366984, 10129605, 28626194, 38755799, 764986375, 1568728549, 3902443473, 28885832860, 177217440633, 206103273493, 383320714126, 972744701745, 1356065415871, 2328810117616

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1031468486160814, 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) = 1031468486160814*a(n-32) - a(n-64) for n>63. - Vincenzo Librandi, Jan 28 2014

Mathematica

Denominator[Convergents[Sqrt[913], 30]] (* Vincenzo Librandi, Jan 28 2014 *)

Crossrefs

Cf. A042764, A040882.

Sequence in context: A041493 A352321 A250474 * A041353 A121052 A041823

Adjacent sequences: A042762 A042763 A042764 * A042766 A042767 A042768

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 28 2014

Status

approved