A241140 - OEIS

A241140

Decimal expansion of an infinite product involving the ratio of n! to its Stirling approximation.

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

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OFFSET

1,3

COMMENTS

The same product where the ratio is replaced by sqrt(2*Pi) evaluates as (2*Pi)^(1/4) = 1.58323...

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.15 Glaisher-Kinkelin Constant, p. 135.

LINKS

Table of n, a(n) for n=1..101.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 20.

Eric Weisstein's MathWorld, Glaisher-Kinkelin Constant

FORMULA