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A246687 Decimal expansion of integral_{0..infinity} x*log(x)*(1-eta(x)^2) dx, where the function 'eta' is a solution of the Painlevé III differential equation. 0
0, 9, 1, 9, 2, 7, 5, 7, 5, 7, 7, 4, 7, 1, 8, 0, 2, 3, 8, 1, 5, 0, 4, 0, 2, 4, 3, 2, 1, 1, 0, 7, 2, 2, 6, 3, 5, 8, 1, 4, 0, 0, 7, 2, 9, 2, 9, 5, 4, 5, 6, 4, 5, 2, 7, 6, 2, 5, 0, 3, 5, 8, 0, 2, 0, 0, 9, 3, 2, 8, 1, 9, 5, 1, 7, 4, 0, 9, 6, 0, 0, 8, 4, 1, 8, 2, 1, 6, 9, 3, 5, 8, 2, 9, 4, 8, 6, 9, 8, 8, 8, 2, 2, 9, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.22 Lenz-Ising Constants, p. 402.

LINKS

Table of n, a(n) for n=0..104.

FORMULA

1/4 + (7/12)*log(2) - 3*log(A) where A is the Glaisher-Kinkelin constant.

EXAMPLE

-0.0919275757747180238150402432110722635814007292954564527625...

MATHEMATICA

Join[{0}, RealDigits[1/4 + (7/12)*Log[2] - 3*Log[Glaisher], 10, 104] // First]

CROSSREFS

Cf. A074962.

Sequence in context: A280375 A067617 A230458 * A021525 A297013 A197724

Adjacent sequences:  A246684 A246685 A246686 * A246688 A246689 A246690

KEYWORD

nonn,cons,easy

AUTHOR

Jean-François Alcover, Sep 01 2014

STATUS

approved

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Last modified August 10 03:38 EDT 2022. Contains 356029 sequences. (Running on oeis4.)