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