A374579 - OEIS

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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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..27.

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

Cf. A000538, A003824, A360306, A374287, A374417.

Sequence in context: A251498 A233848 A343077 * A360306 A018786 A003824

Adjacent sequences: A374576 A374577 A374578 * A374580 A374581 A374582

KEYWORD

sign,more

AUTHOR

Ilya Gutkovskiy, Jul 12 2024

EXTENSIONS

a(18)-a(27) from Michael S. Branicky, Jul 13 2024

STATUS

approved