A334427 Decimal expansion of Product_{k>=1} (1 - 1/A002145(k)^3).

9, 5, 9, 1, 4, 2, 7, 1, 1, 0, 4, 3, 2, 0, 7, 3, 4, 4, 9, 9, 9, 7, 0, 5, 9, 1, 3, 7, 5, 0, 2, 0, 9, 8, 1, 5, 3, 6, 5, 4, 2, 3, 6, 5, 9, 7, 7, 4, 4, 5, 7, 1, 0, 6, 3, 4, 8, 6, 2, 6, 6, 4, 3, 2, 8, 0, 6, 8, 5, 4, 9, 8, 8, 3, 8, 6, 4, 2, 2, 3, 8, 9, 3, 4, 1, 2, 3, 9, 3, 7, 7, 5, 3, 7, 4, 3, 9, 7, 1, 3, 5, 8, 1, 1, 1, 3

Offset

0,1

References

B. C. Berndt, Ramanujan's notebook part IV, Springer-Verlag, 1994, p. 64-65.

Links

Table of n, a(n) for n=0..105.

Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants, Feb 18 1996, p. 7-8.

R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo Functions for Small Moduli, arXiv:1008.2547 [math.NT], 2010-2015, p. 26 (case 4 3 3 = 1/A334427).

Formula

A334426 / A334427 = 28*zeta(3)/Pi^3.

A334425 * A334427 = 8/(7*zeta(3)).

Example

0.959142711043207344999705913750209815365423...

Crossrefs

Cf. A002145, A243379, A334448, A334452.

Sequence in context: A191759 A289505 A371528 * A010543 A154830 A201284

Adjacent sequences: A334424 A334425 A334426 * A334428 A334429 A334430

Keyword

nonn,cons

Author

Vaclav Kotesovec, Apr 30 2020

Extensions

More digits from Vaclav Kotesovec, Jun 27 2020

Status

approved