login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A060807
Numerators of ordinary continued fraction convergents for 2*zeta(3).
3
2, 5, 12, 113, 351, 3623, 3974, 19519, 355316, 374835, 1479821, 7773940, 24801641, 32575581, 122528384, 400160733, 522689117, 922849850, 5136938367, 16333664951, 135806257975, 152139922926, 440086103827, 592226026753
OFFSET
0,1
REFERENCES
Y. V. Nesterenko, Some remarks on zeta(3), Mathematical Notes, 59 (No. 6, 1996), 625-636.
EXAMPLE
2, 5/2, 12/5, 113/47, 351/146, 3623/1507, 3974/1653, ...
MAPLE
Digits := 100: t1 := evalf(2*Zeta(3)); cfrac(t1, l1, l2); l1;
CROSSREFS
Cf. A060804, A060805, A060806, A060808 (denominators).
Sequence in context: A264863 A197706 A205082 * A041095 A041333 A197950
KEYWORD
nonn,easy,cofr,frac
AUTHOR
N. J. A. Sloane, Apr 29 2001
EXTENSIONS
More terms from Vladeta Jovovic, Apr 29 2001
Offset changed by Andrew Howroyd, Jul 10 2024
STATUS
approved