A374696 a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero fourth powers in exactly n ways, or -1 if no such number exists.

354, 6834, 16578, 300834, 2147874, 3847554, 16408434, 13155858, 489597858, 677125218, 780595299, 2374692243, 803898018, 5645172978

Offset

1,1

Links

Table of n, a(n) for n=1..14.

Example

a(2) = 6834 = 1^4 + 2^4 + 4^4 + 9^4 = 3^4 + 4^4 + 7^4 + 8^4.
a(3) = 16578 = 1^4 + 2^4 + 9^4 + 10^4 = 2^4 + 5^4 + 6^4 + 11^4 = 3^4 + 7^4 + 8^4 + 10^4.

Crossrefs

Cf. A025417, A025421, A230562, A374693.

Sequence in context: A251127 A176197 A157668 * A250157 A293563 A241960

Adjacent sequences: A374693 A374694 A374695 * A374697 A374698 A374699

Keyword

nonn,more

Author

Ilya Gutkovskiy, Jul 17 2024

Extensions

a(9)-a(14) from Michael S. Branicky, Jul 21 2024

Status

approved