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A284824
Number of partitions of n copies of n^2 into distinct parts.
1
1, 1, 1, 13, 401, 93151, 88853970, 482430702570
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OFFSET
0,4
LINKS
Table of n, a(n) for n=0..7.
FORMULA
a(n) = 1/n! * [Product_{i=1..n} x_i^(n^2)] Product_{j>0} (1+Sum_{i=1..n} x_i^j).
a(n) =
A258280
(n^2,n).
EXAMPLE
a(3) = 13: [9;8,1;7,2], [9;8,1;6,3], [9;8,1;5,4], [9;8,1;4,3,2], [9;7,2;6,3], [9;7,2;5,4], [9;7,2;5,3,1], [9;6,3;5,4], [9;5,4;6,2,1], [8,1;7,2;6,3], [8,1;7,2;5,4], [8,1;6,3;5,4], [7,2;6,3;5,4].
CROSSREFS
Cf.
A258280
.
Sequence in context:
A286189
A280553
A162446
*
A075672
A069876
A126086
Adjacent sequences:
A284821
A284822
A284823
*
A284825
A284826
A284827
KEYWORD
nonn
,
more
AUTHOR
Alois P. Heinz
, Apr 03 2017
STATUS
approved
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Last modified September 7 04:49 EDT 2024. Contains 375729 sequences. (Running on oeis4.)