A060806 Denominators of special continued fraction for 2*zeta(3).

2, 4, 3, 2, 4, 6, 5, 4, 6, 8, 7, 6, 8, 10, 9, 8, 10, 12, 11, 10, 12, 14, 13, 12, 14, 16, 15, 14, 16, 18, 17, 16, 18, 20, 19, 18, 20, 22, 21, 20, 22, 24, 23, 22, 24, 26, 25, 24, 26, 28, 27, 26, 28, 30, 29, 28, 30, 32, 31, 30, 32, 34, 33, 32, 34, 36, 35, 34, 36

Offset

1,1

References

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

Links

Table of n, a(n) for n=1..69.

Y. V. Nesterenko, Zeta(3) and recurrence relations.

Yu. V. Nesterenko, A few remarks on zeta(3), Math. Notes 59 (1996) 625-636.

Formula

a(4*k+1) = 2*k+2, a(4*k+2) = 2*k+4, a(4*k+3) = 2*k+3, a(4*k+4) = 2*k+2 [from Nesterenko]. - Sean A. Irvine, Jan 01 2023

Crossrefs

Cf. A060804-A060808.

Sequence in context: A049848 A152026 A345928 * A320044 A329876 A128868

Adjacent sequences: A060803 A060804 A060805 * A060807 A060808 A060809

Keyword

nonn,cofr

Author

N. J. A. Sloane, Apr 29 2001

Extensions

More terms from Sean A. Irvine, Jan 01 2023

Status

approved