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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
OFFSET
0,4
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
KEYWORD
nonn,more
AUTHOR
Alois P. Heinz, Apr 03 2017
STATUS
approved