login
A374579
a(n) is the smallest number which can be represented as the sum of n distinct nonzero fourth powers in exactly 2 ways, or -1 if no such number exists.
0
-1, 635318657, 6578, 6834, 7459, 8755, 18755, 23412, 43893, 53893, 92309, 123335, 182566, 232647, 298183, 393848, 521849, 681849, 872105, 1066586, 1343612, 1623453, 1955229, 2412205, 2811596, 3424941, 4132222
OFFSET
1,2
EXAMPLE
a(2) = 635318657 = 59^4 + 158^4 = 133^4 + 134^4.
a(3) = 6578 = 1^4 + 2^4 + 9^4 = 3^4 + 7^4 + 8^4.
CROSSREFS
KEYWORD
sign,more
AUTHOR
Ilya Gutkovskiy, Jul 12 2024
EXTENSIONS
a(18)-a(27) from Michael S. Branicky, Jul 13 2024
STATUS
approved