A042471 Denominators of continued fraction convergents to sqrt(763).

1, 1, 2, 3, 5, 8, 45, 53, 98, 1719, 1817, 12621, 14438, 258067, 272505, 530572, 2925365, 3455937, 6381302, 9837239, 16218541, 26055780, 1423230661, 1449286441, 2872517102, 4321803543, 7194320645, 11516124188, 64774941585, 76291065773, 141066007358

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, 1439449202, 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) = 1439449202*a(n-22) - a(n-44) for n>43. - Vincenzo Librandi, Jan 23 2014

Mathematica

Denominator[Convergents[Sqrt[763], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A040735, A042470.

Sequence in context: A041569 A268480 A128485 * A041871 A061249 A042237

Adjacent sequences: A042468 A042469 A042470 * A042472 A042473 A042474

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 23 2014

Status

approved