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A270242 Number of partitions of n unlabeled objects of 9 colors. 2

%I

%S 1,9,90,735,5535,38619,254949,1604007,9696150,56601345,320465367,

%T 1765647477,9492925152,49918029894,257225030010,1301005101360,

%U 6467982571350,31645832177880,152542319368640,725110153435170,3401929848645540,15764621508983883,72206209735787754

%N Number of partitions of n unlabeled objects of 9 colors.

%H Alois P. Heinz, <a href="/A270242/b270242.txt">Table of n, a(n) for n = 0..1000</a>

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

%p with(numtheory):

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

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

%p end:

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

%Y Column k=9 of A075196.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Mar 13 2016

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Last modified September 16 06:21 EDT 2019. Contains 327090 sequences. (Running on oeis4.)