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A270242 Number of partitions of n unlabeled objects of 9 colors. 2
1, 9, 90, 735, 5535, 38619, 254949, 1604007, 9696150, 56601345, 320465367, 1765647477, 9492925152, 49918029894, 257225030010, 1301005101360, 6467982571350, 31645832177880, 152542319368640, 725110153435170, 3401929848645540, 15764621508983883, 72206209735787754 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: Product_{j>=1} 1/(1-x^j)^C(j+8,8).

MAPLE

with(numtheory):

a:= proc(n) option remember; `if`(n=0, 1, add(add(

      d*binomial(d+8, 8), d=divisors(j))*a(n-j), j=1..n)/n)

    end:

seq(a(n), n=0..30);

CROSSREFS

Column k=9 of A075196.

Sequence in context: A180289 A210088 A261315 * A054616 A052386 A246941

Adjacent sequences:  A270239 A270240 A270241 * A270243 A270244 A270245

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 13 2016

STATUS

approved

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Last modified August 23 14:00 EDT 2019. Contains 326229 sequences. (Running on oeis4.)