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

1, 3, 1, 12, 9, 1, 60, 75, 18, 1, 358, 660, 255, 30, 1, 2471, 6288, 3465, 645, 45, 1, 19302, 65051, 47838, 12495, 1365, 63, 1, 167894, 728556, 685580, 235193, 35700, 2562, 84, 1, 1606137, 8792910, 10285488, 4444188, 877653, 86940, 4410, 108, 1

Offset: 1

Author

Christian G. Bower, Feb 15 1999

Keywords

• nonn
• tabl

Examples

			Triangle begins
     1;
     3,    1;
    12,    9,    1;
    60,   75,   18,   1;
   358,  660,  255,  30,  1;
  2471, 6288, 3465, 645, 45, 1;
  ...
		

Links

• Seiichi Manyama, Rows n = 1..140, flattened

Crossrefs

Cf. A008277, A000258 (first column).

Cf. also A039810, A039812, A039813.

Programs

Mathematica

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 *)

Formula

E.g.f. k-th column: (( exp(exp(exp(x)-1)-1)-1 )^k)/k!. [corrected by Seiichi Manyama, Feb 12 2022]