A334481 Decimal expansion of Product_{k>=1} (1 + 1/A002476(k)^2).

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

Offset

1,3

Comments

Product_{k>=1} (1 - 1/A002476(k)^2) = 1/A175646 = 0.9671040753637981066150556834173635260473412207450...

Let Zeta_{6,1}(4) = 1/ Product_{k>=1}(1-1/A002476(k)^4) = 1.0004615089.. and Zeta_{6,1}(2)= A175646 as tabulated in arXiv:1008.2547. Then this constant equals Zeta_{6,1}(2)/Zeta_{6,1}(4). - R. J. Mathar, Jan 12 2021

Links

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

R. J. Mathar, Table of Dirichlet L-series and prime zeta modulo functions for small moduli, arXiv:1008.2547 [math.NT], 2010-2015, Zeta_{6,1}(4) and Zeta_{6,1}(2) in Section 3.2.

Formula

A334481 * A334482 = 54/(5*Pi^2).

Example

1.03353788846135284308284618497621833947517677481...

Crossrefs

Cf. A002476, A175646, A334477, A334482.

Sequence in context: A348158 A360469 A320045 * A361679 A351561 A029620

Adjacent sequences: A334478 A334479 A334480 * A334482 A334483 A334484

Keyword

nonn,cons

Author

Vaclav Kotesovec, May 02 2020

Extensions

More digits from Vaclav Kotesovec, Jun 27 2020

Status

approved