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A255273
Decimal expansion of the maximum of Planck's radiation function, without its dimensionless coefficient 15/Pi^4.
0
2, 1, 2, 0, 1, 4, 3, 5, 6, 6, 0, 5, 4, 9, 9, 2, 0, 7, 4, 0, 0, 8, 7, 7, 9, 7, 9, 5, 3, 7, 9, 7, 4, 6, 7, 4, 4, 0, 2, 8, 1, 3, 6, 2, 8, 8, 9, 0, 9, 9, 2, 7, 2, 3, 6, 3, 1, 6, 0, 2, 1, 2, 7, 0, 9, 0, 6, 1, 6, 5, 1, 1, 4, 3, 5, 5, 4, 8, 5, 1, 6, 3, 5, 7, 2, 7, 2, 1, 1, 7, 0, 0, 4, 3, 4, 4, 0, 4, 3, 1, 9, 2, 1, 9
OFFSET
2,1
LINKS
Herman P. Robinson, Mathematical Constants. p. 181.
Eric Weisstein's World of Mathematics, Planck's Radiation Function
FORMULA
(W(-5/e^5) + 5)^5/(-1 + e^(W(-5/e^5) + 5)), where W is the LambertW function (ProductLog).
Equals A245261/(15/Pi^4).
EXAMPLE
21.201435660549920740087797953797467440281362889...
MATHEMATICA
RealDigits[(ProductLog[-5/E^5] + 5)^5/(-1 + E^(ProductLog[-5/E^5] + 5)), 10, 104] // First
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved