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A374804
a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero sixth powers in exactly n ways, or -1 if no such number exists.
1
4890, 160426515, 1885800643779
OFFSET
1,1
EXAMPLE
a(2) = 160426515 = 1^6 + 3^6 + 19^6 + 22^6 = 1^6 + 10^6 + 15^6 + 23^6.
a(3) = 1885800643779 = 1^6 + 34^6 + 49^6 + 111^6 = 7^6 + 43^6 + 69^6 + 110^6 = 18^6 + 25^6 + 77^6 + 109^6.
CROSSREFS
KEYWORD
nonn,bref,more
AUTHOR
Ilya Gutkovskiy, Jul 20 2024
STATUS
approved