A039812 Triangle read by rows: matrix 4th power of the Stirling2 triangle A008277.

1, 4, 1, 22, 12, 1, 154, 136, 24, 1, 1304, 1650, 460, 40, 1, 12915, 21904, 8550, 1160, 60, 1, 146115, 318521, 162904, 30590, 2450, 84, 1, 1855570, 5051988, 3246068, 789824, 86940, 4592, 112, 1, 26097835, 86910426, 68151304, 20606796, 2919504, 210924, 7896, 144, 1

Offset

1,2

Links

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

Formula

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

Example

Triangle begins
      1;
      4,     1;
     22,    12,    1;
    154,   136,   24,    1;
   1304,  1650,  460,   40,  1;
  12915, 21904, 8550, 1160, 60, 1;
  ...

Mathematica

Flatten[Table[SeriesCoefficient[(Exp[Exp[Exp[Exp[x]-1]-1]-1]-1)^k, {x, 0, n}]  n!/k!, {n, 9}, {k, n}]] (* Stefano Spezia, Sep 12 2022 *)

Crossrefs

Cf. A008277, A000307 (first column).

Cf. A039810, A039811, A039813.

Sequence in context: A135049 A113384 A243663 * A308559 A249268 A057869

Adjacent sequences: A039809 A039810 A039811 * A039813 A039814 A039815

Keyword

nonn,tabl

Author

Christian G. Bower, Feb 15 1999

Status

approved