A055480 et al

[David Wilson]

After NJAS added my fix, A055480 had a very long %N line.  I have modified
A055480
to reduce the %N line and retain the information.  I also include a new
variant sequence.

%I A055480
%S A055480
24,43,63,89,100,101,102,103,104,105,106,107,108,109,132,135,142,153,175,
%T A055480
209,224,226,262,264,267,283,284,332,333,334,357,370,371,372,373,374,375,
%U A055480
376,377,378,379,407,445,463,518,568,598,629,739,794,809,849,935,994,1000
%N A055480 Energetic numbers
%C A055480 Numbers that can be broken into two or more substrings and
expressed as a sum of (possibly different) positive powers of those
substrings.
%D A055480 Frank Rubin, Journal of Recreational Mathematics, Volume 12,
Number 2, Page 139.
%e A055480 142 = 14^1 + 2^7, 8833 = 88^2 + 33^2.
%Y A055480 This is a less stringent condition that that of a "powerful"
number - compare A007532.
%K A055480 nonn,new
%O A055480 1,1
%A A055480 Robert G. Wilson v (RGWv at kspaint.com), Jul 05 2000
%E A055480 More terms from Robert G. Wilson v (rgwv at kspaint.com), Mar 07
2002
%E A055480 Edited by David W. Wilson, Jan 29, 2003.



%I A000000
%S A000000
24,43,63,89,100,101,102,103,104,105,106,107,108,109,132,135,142,153,175,
%T A000000
209,224,226,254,257,258,262,263,264,267,283,284,308,332,333,334,347,357,
%U A000000
T70,371,372,373,374,375,376,377,378,379,407,445,463,472,518,538,568,598
%N A000000 Energetic numbers, allowing zero as an exponent.
%C A000000 Numbers that can be broken into two or more substrings and
expressed as a sum of (possibly different) nonnegative powers of those
substrings.
%C A000000 254 = 2^7 + 5^3 + 4^0 is the first element requiring a zero
exponent.
%e A000000 142 = 14^1 + 2^7, 8833 = 88^2 + 33^2.
%Y A000000 See A055480.
%K A000000 nonn,new
%O A000000 1,1
%A A000000 David W. Wilson (davidwwilson at attbi.com)