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A039812 Triangle read by rows: matrix 4th power of the Stirling2 triangle A008277. 6
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 29 16:07 EST 2023. Contains 359923 sequences. (Running on oeis4.)