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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.
1
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
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
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