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Glaisher-Kinkelin Constant

Decimal approximation

1.2824271291006226368753425688697917277676889273250011920637400217...

Number line

Continued fraction

[1; 3, 1, 1, 5, 1, 1, 1, 3, 12, 4, 1, 271, 1, 1, 2, 7, 1, 35, 6, 1, 9, 4, 2, 1, 1, 2, 1, 1, 2, ...]

Alternative representations

A = e^(1/12 - ζ'(-1))

A = e^( gamma /12 - ζ'(2)/(2 π^2)) (2 π)^(1/12)

A = exp((-24 Catalan + π + 96 π ζ^(1, 0)(-1, 1/4))/(12 π))

Integral representation

A = (exp(2/3 integral_0^(1/2) log(Γ(t + 1)) dt + 1/3) 2^(7/36))/π^(1/6)