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Decimal expansion of the constant 'b' appearing in the asymptotic expression of the number of plane partitions of n as a*n^(-25/36)*exp(b*n^(2/3)).
1

%I #12 Jun 03 2017 15:33:43

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

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

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

%N Decimal expansion of the constant 'b' appearing in the asymptotic expression of the number of plane partitions of n as a*n^(-25/36)*exp(b*n^(2/3)).

%H Steven Finch, <a href="/A000219/a000219_1.pdf">Integer Partitions</a>, September 22, 2004. [Cached copy, with permission of the author]

%F b = 3*zeta(3)^(1/3)/2^(2/3).

%e 2.009445660877013753064908765816434315885904689795...

%t b = 3*Zeta[3]^(1/3)/2^(2/3); RealDigits[b, 10, 102] // First

%Y Cf. A000219, A002117, A249386.

%K nonn,cons,easy

%O 1,1

%A _Jean-François Alcover_, Oct 27 2014