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A334425 Decimal expansion of Product_{k>=1} (1 - 1/A002144(k)^3). 8
9, 9, 1, 2, 5, 1, 1, 1, 6, 2, 3, 4, 0, 9, 9, 8, 4, 4, 2, 3, 9, 7, 7, 6, 3, 6, 4, 6, 0, 9, 0, 9, 7, 7, 4, 4, 3, 3, 9, 4, 1, 5, 7, 9, 5, 0, 2, 6, 2, 9, 8, 2, 0, 0, 2, 1, 4, 1, 5, 6, 1, 0, 4, 7, 1, 7, 7, 3, 2, 7, 5, 9, 1, 4, 8, 3, 0, 0, 2, 4, 2, 1, 8, 9, 2, 0, 5, 7, 4, 1, 7, 4, 5, 0, 7, 2, 1, 7, 7, 8, 9, 7, 3, 6, 2, 0 (list; constant; graph; refs; listen; history; text; internal format)
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 1 3 = 1/A334425).

FORMULA

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

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

EXAMPLE

0.991251116234099844239776364609097744339415...

CROSSREFS

Cf. A002144, A088539, A334446, A334450.

Sequence in context: A338217 A174266 A351722 * A280554 A195722 A133627

Adjacent sequences:  A334422 A334423 A334424 * A334426 A334427 A334428

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Apr 30 2020

EXTENSIONS

More digits from Vaclav Kotesovec, Jun 27 2020

STATUS

approved

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Last modified May 18 22:37 EDT 2022. Contains 353826 sequences. (Running on oeis4.)