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Denominators of ordinary continued fraction convergents for 2*zeta(3).
4

%I #10 Jul 10 2024 15:03:50

%S 1,2,5,47,146,1507,1653,8119,147795,155914,615537,3233599,10316334,

%T 13549933,50966133,166448332,217414465,383862797,2136728450,

%U 6794048147,56489113626,63283161773,183055437172,246338598945,15456048571762

%N Denominators of ordinary continued fraction convergents for 2*zeta(3).

%D Y. V. Nesterenko, Some remarks on zeta(3), Mathematical Notes, 59 (No. 6, 1996), 625-636.

%H Y. V. Nesterenko, <a href="http://www.ufr-mi.u-bordeaux.fr/~brisebar/GT/9899/Nest/nest29avril.html">Zeta(3) and recurrence relations.</a>

%e 2, 5/2, 12/5, 113/47, 351/146, 3623/1507, 3974/1653, ...

%p Digits := 100: t1 := evalf(2*Zeta(3)); cfrac(t1,l1,l2); l1;

%Y Cf. A060804, A060805, A060806, A060807 (numerators).

%K nonn,easy,frac,cofr

%O 0,2

%A _N. J. A. Sloane_, Apr 29 2001

%E More terms from _Vladeta Jovovic_, Apr 29 2001

%E Offset changed by _Andrew Howroyd_, Jul 10 2024