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%I M4292 #14 Jun 16 2017 19:28:36
%S 6,104,1345,16344,200452,2552192,34138908,482076000,7196676696,
%T 113548220928,1891322394624,33205209053184,613390541616000,
%U 11900521690398720,242050276080034560,5152173699467335680,114574144611434273280
%N Number of paths through an array.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A. M. Khidr and B. S. El-Desouky, <a href="http://dx.doi.org/10.1016/S0195-6698(84)80018-9">A symmetric sum involving the Stirling numbers of the first kind</a>, European J. Combin., 5 (1984), 51-54.
%F a(n) = - Sum_{k=3..n} binomial(k, 3) * s(n+1, n+1-k) * n^(n-k) where s(n, k) are Stirling numbers of the first kind. - _Sean A. Irvine_, Jun 16 2017
%K nonn
%O 3,1
%A _N. J. A. Sloane_.
%E More terms from _Sean A. Irvine_, Jun 16 2017
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