A298989 Number of partitions of n^4 into fourth powers > 1.

1, 0, 1, 1, 2, 4, 8, 32, 101, 687, 3584, 23564, 146424, 937953, 6006835, 38521889, 247868209, 1591813628, 10234693956, 65662254277, 420757890998, 2688786485779, 17134894394402, 108819902923649, 688544716659489, 4339161392334630, 27229261402800035, 170114849290565556

Offset

0,5

Links

Table of n, a(n) for n=0..27.

Eric Weisstein's World of Mathematics, Biquadratic Number

Index entries for related partition-counting sequences

Formula

a(n) = [x^(n^4)] Product_{k>=2} 1/(1 - x^(k^4)).

Example

a(4) = 2 because we have [256] and [16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16].

Crossrefs

Cf. A000583, A046042, A092362, A259793, A298641, A298859.

Sequence in context: A372256 A165904 A192008 * A074406 A186340 A228920

Adjacent sequences: A298986 A298987 A298988 * A298990 A298991 A298992

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 31 2018

Extensions

a(21)-a(27) from Alois P. Heinz, Apr 18 2019

Status

approved