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

0,3

Links

Table of n, a(n) for n=0..21.

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

Formula

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

Crossrefs

A row of the array in A259799.

Cf. A037444, A259792, A259793, A259794.

Sequence in context: A367828 A227746 A078702 * A365593 A069569 A255882

Adjacent sequences: A259792 A259793 A259794 * A259796 A259797 A259798

Keyword

nonn

Author

N. J. A. Sloane, Jul 06 2015

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

Status

approved