A042931 Denominators of continued fraction convergents to sqrt(997).

1, 1, 2, 5, 7, 33, 40, 73, 332, 405, 1142, 1547, 2689, 168265, 170954, 339219, 849392, 1188611, 5603836, 6792447, 12396283, 56377579, 68773862, 193925303, 262699165, 456624468, 28573416181, 29030040649, 57603456830, 144236954309, 201840411139

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, 169812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 28836115346*a(n-26) - a(n-52) for n>51. - Vincenzo Librandi, Feb 01 2014

Mathematica

Denominator[Convergents[Sqrt[997], 30]] (* Harvey P. Dale, Jul 10 2013 *)

Crossrefs

Cf. A042930, A040965.

Sequence in context: A381370 A056442 A056443 * A085394 A041875 A072188

Adjacent sequences: A042928 A042929 A042930 * A042932 A042933 A042934

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Feb 01 2014

Status

approved