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Signature sequence of e^(1/e) - the solution (the y value) to Steiner's problem: find the max value attained by y=x^(1/x).
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%I #16 May 27 2024 11:52:14

%S 1,2,1,3,2,1,4,3,2,5,1,4,3,6,2,5,1,4,7,3,6,2,5,8,1,4,7,3,6,9,2,5,8,1,

%T 4,7,10,3,6,9,2,5,8,11,1,4,7,10,3,6,9,12,2,5,8,11,1,4,7,10,13,3,6,9,

%U 12,2,5,8,11,14,1,4,7,10,13,3,6,9,12,15,2,5,8,11,14,1,4,7,10,13,16

%N Signature sequence of e^(1/e) - the solution (the y value) to Steiner's problem: find the max value attained by y=x^(1/x).

%H T. D. Noe, <a href="/A133334/b133334.txt">Table of n, a(n) for n=1..1000</a>

%H C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/fractals.html">Fractal sequences</a>

%H <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>

%t Take[Transpose[ Sort[Flatten[Table[{i + j*(E^(1/E)), i}, {i, 17}, {j, 15}], 1], #1[[1]] < #2[[1]] &]][[2]], 91]

%Y Cf. A073229.

%K nonn

%O 1,2

%A _Gregg Whisler_, Oct 19 2007