A374693 a(n) is the smallest number which can be represented as the sum of 3 distinct nonzero fourth powers in exactly n ways, or -1 if no such number exists.

98, 6578, 811538, 5978882, 1289202642, 292965218, 779888018, 5745705602, 105760443698, 49511121842, 1872511131218, 281539574498, 17673688436978

Offset

1,1

Comments

a(16) = 7865870969138. - Michael S. Branicky, Jul 23 2024

Links

Table of n, a(n) for n=1..13.

Example

a(2) = 6578 = 1^4 + 2^4 + 9^4 = 3^4 + 7^4 + 8^4.
a(3) = 811538 = 4^4 + 23^4 + 27^4 = 7^4 + 21^4 + 28^4 = 12^4 + 17^4 + 29^4.

Crossrefs

Cf. A025415, A025419, A230562, A374696.

Sequence in context: A017761 A093298 A201389 * A263032 A168522 A173205

Adjacent sequences: A374689 A374690 A374691 * A374694 A374695 A374696

Keyword

nonn,more

Author

Ilya Gutkovskiy, Jul 17 2024

Extensions

a(9)-a(12) from Michael S. Branicky, Jul 22 2024

a(13) from Michael S. Branicky, Jul 23 2024

Status

approved