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A039813 Matrix 5th power of Stirling-2 Triangle A008277. 6
1, 5, 1, 35, 15, 1, 315, 215, 30, 1, 3455, 3325, 725, 50, 1, 44590, 56605, 17100, 1825, 75, 1, 660665, 1060780, 415555, 60900, 3850, 105, 1, 11035095, 21772595, 10606470, 1998605, 172550, 7210, 140, 1, 204904830, 486459105, 286281665 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..39.

FORMULA

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

EXAMPLE

1; 5,1; 35,15,1; 315,215,30,1; ...

MATHEMATICA

max = 9; m = MatrixPower[Array[StirlingS2, {max, max}], 5]; Table[Take[m[[n]], n], {n, 1, max}] // Flatten (* Jean-Fran├žois Alcover, Mar 03 2014 *)

CROSSREFS

Cf. A039810-A039812. |a(n, 1)| = A000357(n) (first column).

Sequence in context: A197654 A296043 A066833 * A160632 A089515 A158820

Adjacent sequences:  A039810 A039811 A039812 * A039814 A039815 A039816

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower, Feb 15 1999

STATUS

approved

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Last modified November 19 10:48 EST 2018. Contains 317349 sequences. (Running on oeis4.)