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

Author

David W. Wilson, Jan 29 2003

Keywords

• nonn
• base

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.

Examples

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

Links

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

Crossrefs

Cf. A055480.