A249387 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)).

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, 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, 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

Offset

1,1

Links

Table of n, a(n) for n=1..102.

Steven Finch, Integer Partitions, September 22, 2004. [Cached copy, with permission of the author]

Formula

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

Example

2.009445660877013753064908765816434315885904689795...

Mathematica

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

Crossrefs

Cf. A000219, A002117, A249386.

Sequence in context: A323399 A246714 A246708 * A350487 A258759 A350793

Adjacent sequences: A249384 A249385 A249386 * A249388 A249389 A249390

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 27 2014

Status

approved