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%I #8 Feb 24 2019 17:06:30
%S 1,1,3,22,329,9216,443227,33690574,3815631297,615764308672,
%T 136379590946891,40153740607226214,15306924742075555657,
%U 7392759013812560317840,4441824191762733091989051,3268365147290283563408293846,2905065653907985007147484366113
%N a(n) = n! * [x^n] A_n(x) with A_n(x) = exp(x*A_n(((x+1)^n-1)/n)) if n > 0 and A_0(x) = exp(x).
%H Alois P. Heinz, <a href="/A306578/b306578.txt">Table of n, a(n) for n = 0..100</a>
%F a(n) = A143632(n,n).
%Y Main diagonal of A143632.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Feb 24 2019
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