A374803 a(n) is the smallest number which can be represented as the sum of 4 distinct positive fifth powers in exactly n ways, or -1 if no such number exists.

1300, 4062500, 1479604544

Offset

1,1

Links

Table of n, a(n) for n=1..3.

Example

a(2) = 4062500 = 1^5 + 14^5 + 16^5 + 19^5 = 5^5 + 10^5 + 15^5 + 20^5.
a(3) = 1479604544 = 3^5 + 48^5 + 52^5 + 61^5 = 13^5 + 36^5 + 51^5 + 64^5 = 18^5 + 36^5 + 44^5 + 66^5.

Crossrefs

Cf. A025417, A025421, A374696, A374804.

Sequence in context: A204941 A022057 A107521 * A226144 A250728 A071847

Adjacent sequences: A374800 A374801 A374802 * A374804 A374805 A374806

Keyword

nonn,bref,more

Author

Ilya Gutkovskiy, Jul 20 2024

Status

approved