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A186501 Decimal expansion of the solution x to x^x = 11. 4

%I #12 Jun 16 2021 09:21:39

%S 2,5,5,5,6,0,4,6,1,2,1,0,0,8,2,0,6,1,5,2,5,1,4,5,4,2,6,5,4,7,1,6,6,8,

%T 8,2,5,1,6,6,6,2,4,5,5,4,6,7,7,0,0,8,2,6,5,7,4,4,4,7,7,9,0,5,1,9,4,6,

%U 9,4,0,9,1,0,5,5,6,7,9,2,3,8,0,7,8,5,3,5,0,3,1,4,6,9,5,3,6,8,2,1,6,6

%N Decimal expansion of the solution x to x^x = 11.

%e 2.5556046121008206152514542654716688251666246..

%t x=11;RealDigits[Log[x]/ProductLog[Log[x]],10,103][[1]]

%t RealDigits[x/.FindRoot[x^x==11,{x,2},WorkingPrecision->110]][[1]] (* _Harvey P. Dale_, Nov 13 2011 *)

%Y Cf. A030798, A173158, A000038, A173159, A173160, A173161, A173162, A173163, A090625, A186502, A186503, A186504, A344930, A093590.

%K nonn,cons

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Feb 22 2011

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