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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
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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:
A241251
A126076
A341736
*
A099579
A056521
A056510
Adjacent sequences:
A258281
A258282
A258283
*
A258285
A258286
A258287
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, May 25 2015
STATUS
approved
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Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)