A072096 Energetic numbers, allowing zero as an exponent.

24, 43, 63, 89, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 132, 135, 142, 153, 175, 209, 224, 226, 254, 257, 258, 262, 263, 264, 267, 283, 284, 308, 332, 333, 334, 347, 357, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 407, 445, 463, 472, 518

Offset

1,1

Comments

Numbers that can be broken into two or more substrings and expressed as a sum of (possibly different) nonnegative powers of those substrings.

254 = 2^7 + 5^3 + 4^0 is the first element requiring a zero exponent.

Links

Table of n, a(n) for n=1..52.

Henk Koppelaar, Peyman Nasehpour, and Maarten Looijen, Symmetry between Series if Entangled by Sums, Preprints.org, 2024.

Example

142 = 14^1 + 2^7, 8833 = 88^2 + 33^2.

Crossrefs

Cf. A055480.

Sequence in context: A118299 A302360 A258865 * A055480 A322843 A211568

Adjacent sequences: A072093 A072094 A072095 * A072097 A072098 A072099

Keyword

nonn,base

Author

David W. Wilson, Jan 29 2003

Status

approved