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%I #13 Jan 05 2024 07:56:53
%S 0,1,10,273,17476,2184505,471853086,161845608505,82864951554568,
%T 60408549683280081,60408549683280081010,80403779628445787824321,
%U 138937731197954321360426700,305246195441905644028857459913,837595560292589087215184870001286
%N a(n) = (n!)^3 * Sum_{k=0..n} k/(k!)^3.
%F a(0) = 0; a(n) = n^3 * a(n-1) + n.
%F a(n) = n * A368776(n-1) for n > 0.
%o (PARI) a(n) = n!^3*sum(k=0, n, k/k!^3);
%Y Cf. A368769, A368771, A368772.
%Y Cf. A180255, A368776.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Jan 04 2024
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