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

1,1

Comments

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

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

Example

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

Crossrefs

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

Cf. A007532, A072096.

Sequence in context: A302360 A258865 A072096 * A322843 A211568 A324459

Adjacent sequences: A055477 A055478 A055479 * A055481 A055482 A055483

Keyword

nonn,base

Author

Robert G. Wilson v, Jul 05 2000

Extensions

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

Edited by David W. Wilson, Jan 29 2003

Status

approved