A363040 a(n) is the smallest number which can be represented as the sum of n distinct perfect powers (A001597) in exactly n ways, or -1 if no such number exists.

1, 17, 37, 53, 86, 119, 177, 215, 275, 331, 424, 516, 632, 764, 928, 1057, 1247, 1427, 1635, 1879, 2119, 2409, 2715, 3008, 3395, 3760, 4189, 4667, 5171, 5617, 6178, 6786, 7438, 8071, 8836, 9572, 10456, 11333, 12396, 13266, 14214, 15379, 16518, 17703, 19018, 20275

Offset

1,2

Links

Table of n, a(n) for n=1..46.

Eric Weisstein's World of Mathematics, Perfect Power

Example

For n = 2: 17 = 1 + 16 = 8 + 9.

Crossrefs

Cf. A001597, A362424, A362425, A362428.

Sequence in context: A075698 A165493 A339531 * A295338 A059425 A341937

Adjacent sequences: A363037 A363038 A363039 * A363041 A363042 A363043

Keyword

nonn

Author

Ilya Gutkovskiy, May 14 2023

Extensions

a(13) and beyond from Michael S. Branicky, May 24 2023

Status

approved