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%I #20 Jan 11 2020 18:33:45
%S 1,1,1,3,7,30,131,795,5152,36800,272093,2077909,16176607,127996683,
%T 1025727646,8310377720,67967600763,560527576100,4656993996246,
%U 38949328897318,327718211568300,2772480181758683,23571996461405321,201327668784954950,1726755218246463325
%N Number of simplicial 4-clusters with n cells. (Formerly M2679)
%C Some of the terms in the Hering article are in error, including the 6th, 8th and 9th.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H F. Hering et al., <a href="http://dx.doi.org/10.1016/0012-365X(82)90121-2">The enumeration of stack polytopes and simplicial clusters</a>, Discrete Math., 40 (1982), 203-217.
%F a(n) = (A007175(n) + A182299(n))/2.
%Y This is the average of A007175 and A182299, both of which have Mathematica programs.
%K nonn,easy
%O 1,4
%A _Robert A. Russell_, Apr 24 2012
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