login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A258284 Number of partitions of 6 copies of n into distinct parts. 2
1, 1, 7, 10, 40, 64, 215, 373, 1076, 1823, 5052, 8519, 21279, 36836, 86354, 148550, 338354, 571638, 1242227, 2156661, 4453444, 7573979, 15612927, 26325001, 52042210, 88853970, 170752721, 288367364, 550431942, 916369374, 1706148831, 2877961566, 5219075925 (list; graph; refs; listen; history; text; internal format)
OFFSET

11,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 11..50

FORMULA

a(n) = 1/6! * [(x*y*z*u*v*w)^n] Product_{j>0} (1+x^j+y^j+z^j+u^j+v^j+w^j).

EXAMPLE

a(13) = 7: [13;12,1;11,2;10,3;9,4;8,5], [13;12,1;11,2;10,3;9,4;7,6], [13;12,1;11,2;10,3;8,5;7,6], [13;12,1;11,2;9,4;8,5;7,6], [13;12,1;10,3;9,4;8,5;7,6], [13;11,2;10,3;9,4;8,5;7,6], [12,1;11,2;10,3;9,4;8,5;7,6].

CROSSREFS

Column k=6 of A258280.

Sequence in context: A095756 A241251 A126076 * A099579 A056521 A056510

Adjacent sequences:  A258281 A258282 A258283 * A258285 A258286 A258287

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 25 2015

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 March 30 12:10 EDT 2020. Contains 333125 sequences. (Running on oeis4.)