A284824 Number of partitions of n copies of n^2 into distinct parts.

1, 1, 1, 13, 401, 93151, 88853970, 482430702570

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