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A344930
Decimal expansion of the real solution to x^x = 15.
4
2, 7, 1, 3, 1, 6, 3, 6, 0, 4, 0, 0, 4, 2, 3, 9, 2, 0, 9, 5, 7, 6, 4, 0, 1, 2, 7, 6, 8, 2, 8, 5, 0, 9, 3, 7, 1, 8, 7, 8, 1, 8, 2, 4, 9, 9, 6, 7, 1, 4, 5, 1, 6, 0, 6, 7, 3, 1, 6, 3, 9, 5, 1, 8, 1, 4, 1, 7, 5, 7, 1, 4, 3, 9, 6, 2, 9, 0, 5, 2, 3, 9, 8, 1, 5, 1, 1, 5, 1
OFFSET
1,1
COMMENTS
2.7131636040042392095764012768285093718781...
FORMULA
Equals log(15)/W(log(15)), where W(z) is the Lambert W Function.
MATHEMATICA
RealDigits[Log[15]/ProductLog[Log[15]], 10, 100][[1]] (* Amiram Eldar, Jun 02 2021 *)
RealDigits[x/.FindRoot[x^x==15, {x, 2.7}, WorkingPrecision->120], 10, 120][[1]] (* Harvey P. Dale, Apr 18 2022 *)
KEYWORD
nonn,cons
AUTHOR
Christoph B. Kassir, Jun 02 2021
STATUS
approved