A334424 Decimal expansion of Product_{k>=1} (1 + 1/A002144(k)^3).

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

Offset

1,4

References

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

Links

Table of n, a(n) for n=1..105.

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

Formula

A334424 / A334425 = 105*zeta(3)/(4*Pi^3).

A334424 * A334426 = 840*zeta(3)/Pi^6.

Example

1.008761284276077638565924191966917577926199...

Crossrefs

Cf. A002144, A243380, A334445, A334449.

Sequence in context: A349250 A215737 A154718 * A021537 A208934 A196620

Adjacent sequences: A334421 A334422 A334423 * A334425 A334426 A334427

Keyword

nonn,cons

Author

Vaclav Kotesovec, Apr 30 2020

Extensions

a(17)-a(18) from Jinyuan Wang, Apr 30 2020

More digits from Vaclav Kotesovec, Apr 30 2020 and Jun 27 2020

Status

approved