A042113 Denominators of continued fraction convergents to sqrt(581).

1, 9, 10, 19, 29, 48, 77, 279, 3146, 3425, 13421, 30267, 195023, 420313, 1455962, 1876275, 22094987, 68161236, 90256223, 158417459, 248673682, 407091141, 655764823, 6308974548, 303486543127, 2737687862691, 3041174405818, 5778862268509, 8820036674327, 14598898942836

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, 304142307950, 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) = 304142307950*a(n-24) - a(n-48) for n>47. - Vincenzo Librandi, Jan 15 2014

Mathematica

Denominator[Convergents[Sqrt[581], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

Crossrefs

Cf. A042112.

Sequence in context: A299969 A050551 A022099 * A041166 A042613 A020694

Adjacent sequences: A042110 A042111 A042112 * A042114 A042115 A042116

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 15 2014

Status

approved