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A000406 Coefficients of iterated exponentials.
(Formerly M4264 N1782)
8

%I M4264 N1782

%S 1,6,57,741,12244,245755,5809875,158198200,4877852505,168055077875,

%T 6400217406500,267058149580823,12118701719205803,594291742526530761,

%U 31323687504696772151,1766116437541895988303,106080070002238888908150

%N Coefficients of iterated exponentials.

%D J. Ginsburg, Iterated exponentials, Scripta Math., 11 (1945), 340-353.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H T. D. Noe, <a href="/A000406/b000406.txt">Table of n, a(n) for n=1..100</a>

%H P. J. Cameron, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL3/groups.html">Sequences realized by oligomorphic permutation groups</a>, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.

%H Jekuthiel Ginsburg, <a href="/A000405/a000405.pdf">Iterated exponentials</a>, Scripta Math., 11 (1945), 340-353. [Annotated scanned copy]

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=302">Encyclopedia of Combinatorial Structures 302</a>

%F E.g.f.: -log(1+log(1+log(1+log(1+log(1+log(1-x)))))).

%t With[{nn=20},CoefficientList[Series[-Log[1+Log[1+Log[1+Log[1+ Log[1+ Log[1- x]]]]]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Nov 03 2015 *)

%Y Cf. A003713, A000268, A000310, A000359, A001765.

%K nonn

%O 1,2

%A _N. J. A. Sloane_

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Last modified August 10 08:28 EDT 2020. Contains 336368 sequences. (Running on oeis4.)