A362428 a(n) is the least positive integer that can be expressed as the sum of one or more consecutive perfect powers (A001597) in exactly n ways, or -1 if no such integer exists.

1, 25, 441

Offset

1,2

Comments

a(4) > 1.5 * 10^8.

No further terms < 2.8*10^14. - Michael S. Branicky, Apr 20 2023

Links

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

Eric Weisstein's World of Mathematics, Perfect Power

Example

For n = 2: 25 = 25 = 9 + 16.
For n = 3: 441 = 441 = 216 + 225 = 128 + 144 + 169.

Crossrefs

Cf. A001597.

Sequence in context: A021324 A092430 A018207 * A368161 A264382 A337901

Adjacent sequences: A362425 A362426 A362427 * A362429 A362430 A362431

Keyword

nonn,bref,more

Author

Ilya Gutkovskiy, Apr 19 2023

Status

approved