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A255438
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Decimal expansion of a constant related to A255359.
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4
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6, 6, 4, 4, 9, 8, 7, 9, 1, 8, 7, 0, 6, 3, 5, 4, 0, 4, 9, 4, 8, 3, 1, 1, 8, 3, 1, 6, 7, 3, 7, 8, 4, 2, 6, 6, 0, 0, 7, 5, 3, 6, 2, 6, 5, 2, 0, 0, 5, 2, 0, 1, 5, 6, 1, 3, 2, 6, 2, 9, 0, 4, 2, 8, 7, 1, 0, 3, 7, 1, 4, 7, 3, 4, 0, 3, 3, 7, 9, 5, 6, 1, 2, 9, 5, 0, 7, 9
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OFFSET
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1,1
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LINKS
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FORMULA
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Equals limit n->infinity (Product_{k=0..n} (k^4)!) / (n^(1 + 28*n/15 + 4*n^3/3 + 2*n^4 + 4*n^5/5) * (2*Pi)^(n/2) / exp(19*n/9 + n^4/2 + 9*n^5/25)).
Equals 2*Pi*exp(-3*Zeta(5)/Pi^4) * Product_{n>=1} ((n^4)!/stirling(n^4)), where stirling(n^4) = sqrt(2*Pi) * n^(4*n^4 + 2) / exp(n^4) is the Stirling approximation of (n^4)! and Zeta(5) = A013663. - Vaclav Kotesovec, Apr 20 2016
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EXAMPLE
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6.644987918706354049483118316737842660075362652005201561326290428710371...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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