login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A270240 Number of partitions of n unlabeled objects of 7 colors. 2
1, 7, 56, 364, 2198, 12292, 65240, 330262, 1608866, 7575967, 34636896, 154235319, 670752411, 2855122319, 11917598512, 48858820584, 197008297955, 782223365518, 3061514606822, 11822306812232, 45080137355687, 169865159676365, 632916329409504, 2333298558227399 (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+6,6).

MAPLE

with(numtheory):

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

      d*binomial(d+6, 6), d=divisors(j))*a(n-j), j=1..n)/n)

    end:

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

CROSSREFS

Column k=7 of A075196.

Sequence in context: A082140 A264693 A054614 * A104896 A246939 A122996

Adjacent sequences:  A270237 A270238 A270239 * A270241 A270242 A270243

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 13 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 17 22:05 EDT 2019. Contains 328134 sequences. (Running on oeis4.)