A042112 Numerators of continued fraction convergents to sqrt(581).

24, 217, 241, 458, 699, 1157, 1856, 6725, 75831, 82556, 323499, 729554, 4700823, 10131200, 35094423, 45225623, 532576276, 1642954451, 2175530727, 3818485178, 5994015905, 9812501083, 15806516988

Offset

0,1

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. [Bruno Berselli, Nov 17 2013]

Mathematica

Numerator[Convergents[Sqrt[581], 30]] (* Vincenzo Librandi, Nov 17 2013 *)

Crossrefs

Cf. A042113.

Sequence in context: A232474 A205816 A138406 * A297679 A202073 A107968

Adjacent sequences: A042109 A042110 A042111 * A042113 A042114 A042115

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved