A039811 - OEIS

%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