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A270243 Number of partitions of n unlabeled objects of 10 colors. 2
1, 10, 110, 990, 8195, 62854, 455675, 3147210, 20874205, 133650330, 829656124, 5010237850, 29516429335, 170025614980, 959521900370, 5313793679524, 28919055049170, 154857622067610, 816814457097155, 4247904244224630, 21800095116980345, 110485969920692960 (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+9,9).

MAPLE

with(numtheory):

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

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

    end:

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

CROSSREFS

Column k=10 of A075196.

Sequence in context: A249845 A180290 A110251 * A276387 A289890 A289093

Adjacent sequences:  A270240 A270241 A270242 * A270244 A270245 A270246

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 13 2016

STATUS

approved

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Last modified August 19 04:18 EDT 2019. Contains 326109 sequences. (Running on oeis4.)