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A255504 Decimal expansion of a constant related to A255322. 4
3, 0, 4, 8, 3, 3, 0, 3, 0, 6, 5, 2, 2, 3, 4, 8, 5, 6, 6, 9, 1, 1, 9, 2, 0, 4, 1, 7, 3, 3, 7, 6, 1, 3, 0, 1, 5, 8, 8, 5, 3, 1, 3, 4, 7, 5, 6, 8, 9, 0, 4, 9, 1, 8, 4, 5, 2, 5, 4, 8, 3, 6, 9, 7, 6, 8, 4, 8, 3, 4, 1, 6, 5, 3, 3, 9, 0, 8, 8, 1, 4, 5, 1, 4, 6, 6, 7, 7, 6, 7, 0, 2, 2, 1, 6, 0, 5, 1, 6, 7, 7, 1, 9, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals limit n->infinity (Product_{k=0..n} (k^2)!) / (n^((2*n + 1)*(2*n^2 + 2*n + 3)/6) * (2*Pi)^(n/2) / exp(5*n^3/9 + n^2/2 + n)).

Equals sqrt(2*Pi) * exp(Zeta(3)/(2*Pi^2)) * Product_{n>=1} ((n^2)!/stirling(n^2)), where stirling(n^2) = sqrt(2*Pi) * n^(2*n^2+1) / exp(n^2) is the Stirling approximation of (n^2)!. - Vaclav Kotesovec, Apr 20 2016

EXAMPLE

3.048330306522348566911920417337613015885313475689049184525483697684834...

CROSSREFS

Cf. A255322, A255511, A255438, A255439.

Cf. A074962, A243262, A243263, A243264, A243265.

Sequence in context: A303274 A199608 A128178 * A178593 A021332 A008344

Adjacent sequences:  A255501 A255502 A255503 * A255505 A255506 A255507

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Feb 24 2015

STATUS

approved

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Last modified August 5 21:45 EDT 2020. Contains 336213 sequences. (Running on oeis4.)