A331402 a(n) = [x^(n^n)] Product_{k>=1} 1 / (1 - x^(k^n)).

1, 2, 5, 36, 1104, 140549, 82159688, 237700614212, 3591644060379486

Offset

1,2

Comments

Number of partitions of n^n into n-th powers.

Links

Table of n, a(n) for n=1..9.

Formula

a(n) = A259799(n,n).

Example

a(2) = 2 because we have [4] and [1, 1, 1, 1].

Crossrefs

Diagonal of A259799.

Cf. A145514.

Sequence in context: A086832 A317801 A111491 * A284605 A106129 A163499

Adjacent sequences: A331399 A331400 A331401 * A331403 A331404 A331405

Keyword

nonn,more

Author

Ilya Gutkovskiy, Jan 16 2020

Extensions

a(8)-a(9) from Giovanni Resta, Jan 17 2020

Status

approved