A344930 Decimal expansion of the real solution to x^x = 15.

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...

Links

Table of n, a(n) for n=1..89.

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 *)

Crossrefs

Cf. A030798, A173158, A000038, A173159, A173160, A173161, A173162, A173163, A090625, A186501, A186502, A186503, A186504, A093590.

Sequence in context: A340208 A201889 A145057 * A218792 A065254 A010592

Adjacent sequences: A344927 A344928 A344929 * A344931 A344932 A344933

Keyword

nonn,cons

Author

Christoph B. Kassir, Jun 02 2021

Status

approved