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A270243 Number of partitions of n unlabeled objects of 10 colors. 2


%S 1,10,110,990,8195,62854,455675,3147210,20874205,133650330,829656124,

%T 5010237850,29516429335,170025614980,959521900370,5313793679524,

%U 28919055049170,154857622067610,816814457097155,4247904244224630,21800095116980345,110485969920692960

%N Number of partitions of n unlabeled objects of 10 colors.

%H Alois P. Heinz, <a href="/A270243/b270243.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: Product_{j>=1} 1/(1-x^j)^C(j+9,9).

%p with(numtheory):

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

%p d*binomial(d+9, 9), d=divisors(j))*a(n-j), j=1..n)/n)

%p end:

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

%Y Column k=10 of A075196.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Mar 13 2016

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Last modified September 18 09:59 EDT 2019. Contains 327170 sequences. (Running on oeis4.)