A039817 Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275.

1, -5, 1, 40, -15, 1, -440, 235, -30, 1, 6170, -4200, 775, -50, 1, -105315, 86020, -20475, 1925, -75, 1, 2120610, -2001055, 577570, -70525, 4025, -105, 1, -49242470, 52305780, -17609620, 2623145, -195300, 7490, -140, 1, 1296133195, -1520815230, 581516560, -101595060, 9264045, -464940, 12810, -180, 1

Offset

1,2

Links

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

Formula

E.g.f. of k-th column: ((log(1+log(1+log(1+log(1+log(1+x))))))^k)/k!.

Example

Triangle begins:
        1;
       -5,     1;
       40,   -15,      1;
     -440,   235,    -30,    1;
     6170, -4200,    775,  -50,   1;
  -105315, 86020, -20475, 1925, -75, 1;
  ...

Mathematica

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

Crossrefs

Cf. A000359 (first column), A008275.

Cf. A039813, A039814, A039815, A039816.

Sequence in context: A158820 A082437 A308440 * A293604 A000321 A293573

Adjacent sequences: A039814 A039815 A039816 * A039818 A039819 A039820

Keyword

sign,tabl

Author

Christian G. Bower, Feb 15 1999

Status

approved