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%I #17 Jan 27 2024 10:36:13
%S 1,1,7,13,112,247,2310,5525,53998,135408,1360289,3518515,36017352,
%T 95223414,988172368,2655417765,27844071255,75769712590,801012669457,
%U 2201663313200,23428926096576,64924369564353,694644371065372,1938034271677595,20829931845958872,58448142042957576
%N Number of symmetric 13-ary factorizations of the n-cycle (12...n).
%C The six sequences displayed in Table 1 of the Bousquet-Lamathe reference are A047749, A143546, A143547, A143554, A192893, A192894. From this one should be able to guess a g.f.
%H Andrew Howroyd, <a href="/A192894/b192894.txt">Table of n, a(n) for n = 1..200</a>
%H Michel Bousquet and Cédric Lamathe, <a href="https://doi.org/10.46298/dmtcs.420">On symmetric structures of order two</a>, Discrete Math. Theor. Comput. Sci. 10 (2008), 153-176. See Table 1.
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Jul 12 2011
%E a(11) onwards from _Andrew Howroyd_, Jan 26 2024