A055480 Energetic numbers.

24, 43, 63, 89, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 132, 135, 142, 153, 175, 209, 224, 226, 262, 264, 267, 283, 284, 332, 333, 334, 357, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 407, 445, 463, 518, 568, 598, 629, 739, 794, 809, 849, 935, 994, 1000

Offset: 1

Author

Robert G. Wilson v, Jul 05 2000

Keywords

• nonn
• base

Comments

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

Examples

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

References

• Frank Rubin, Journal of Recreational Mathematics, Volume 12, Number 2, Page 139.

Links

• Jonathan Frech, Table of n, a(n) for n = 1..10000

Crossrefs

This is a less stringent condition than that of a "powerful" number - compare A007532.

Cf. A007532, A072096.

Extensions

More terms from Robert G. Wilson v, Mar 07 2002

Edited by David W. Wilson, Jan 29 2003