A041475 Denominators of continued fraction convergents to sqrt(253).

1, 1, 10, 11, 21, 32, 85, 117, 904, 3733, 8370, 20473, 49316, 217737, 1573475, 1791212, 5155899, 6947111, 12103010, 19050121, 183554099, 202604220, 6261680699, 6464284919, 64440244970, 70904529889, 135344774859, 206249304748, 547843384355, 754092689103

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, 6445234798, 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) = 6445234798*a(n-22) - a(n-44) for n>43. [Bruno Berselli, Dec 18 2013]

Mathematica

Denominator[Convergents[Sqrt[253], 30]] (* Vincenzo Librandi, Dec 18 2013 *)

Crossrefs

Cf. A041474.

Sequence in context: A277588 A339138 A022100 * A041204 A041202 A324550

Adjacent sequences: A041472 A041473 A041474 * A041476 A041477 A041478

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 18 2013

Status

approved