A259795 Number of partitions of n^6 into sixth powers.

1, 1, 2, 13, 218, 5082, 140549, 4318937, 142230196, 4899174096, 173759831765, 6275666535508, 229029623773326, 8400986623582879, 308552577080828413, 11315799255444002331, 413526899811283611529, 15035521464541449037361, 543292158617220114038102, 19493012206795963934830852, 694033371089826655280448205, 24509565267500567956406898725

Offset: 0

Author

N. J. A. Sloane, Jul 06 2015

Keywords

• nonn

Links

• H. L. Fisher, Letter to N. J. A. Sloane, Mar 16 1989

Crossrefs

A row of the array in A259799.

Cf. A037444, A259792, A259793, A259794.

Formula

a(n) = [x^(n^6)] Product_{k>=1} 1/(1 - x^(k^6)). - Ilya Gutkovskiy, Jan 29 2018

Extensions

a(8)-a(14) from Alois P. Heinz, Jul 10 2015

a(15)-a(18) from Hiroaki Yamanouchi, Jul 11 2015

a(19)-a(21) from Vaclav Kotesovec, Dec 10 2016