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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
11,3
LINKS
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 25 2015
STATUS
approved

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Last modified July 15 06:58 EDT 2024. Contains 374324 sequences. (Running on oeis4.)