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A039811 Triangle read by rows: matrix cube of the Stirling2 triangle A008277.

%I A039811 #29 Sep 17 2022 14:24:31
%S A039811 1,3,1,12,9,1,60,75,18,1,358,660,255,30,1,2471,6288,3465,645,45,1,
%T A039811 19302,65051,47838,12495,1365,63,1,167894,728556,685580,235193,35700,
%U A039811 2562,84,1,1606137,8792910,10285488,4444188,877653,86940,4410,108,1
%N A039811 Triangle read by rows: matrix cube of the Stirling2 triangle A008277.
%H A039811 Seiichi Manyama, <a href="/A039811/b039811.txt">Rows n = 1..140, flattened</a>
%F A039811 E.g.f. k-th column: (( exp(exp(exp(x)-1)-1)-1 )^k)/k!. [corrected by _Seiichi Manyama_, Feb 12 2022]
%e A039811 Triangle begins
%e A039811      1;
%e A039811      3,    1;
%e A039811     12,    9,    1;
%e A039811     60,   75,   18,   1;
%e A039811    358,  660,  255,  30,  1;
%e A039811   2471, 6288, 3465, 645, 45, 1;
%e A039811   ...
%t A039811 Flatten[Table[SeriesCoefficient[(Exp[Exp[Exp[x]-1]-1]-1)^k, {x,0,n}] n!/k!,{n,9}, {k,n}]] (* _Stefano Spezia_, Sep 12 2022 *)
%Y A039811 Cf. A008277, A000258 (first column).
%Y A039811 Cf. also A039810, A039812, A039813.
%K A039811 nonn,tabl
%O A039811 1,2
%A A039811 _Christian G. Bower_, Feb 15 1999