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Numbers which can be written using their digits in order and only multiplication and squaring operators.
0

%I #14 Aug 13 2020 14:02:28

%S 128,175,384,672,735,1296,6144,18432,23328,34992,82944,442368,1492992,

%T 2333772,2612736,3981312,4128768,9289728,12192768,13226976,13395375,

%U 13436928,21233664,22127616,27869184,49787136,161243136

%N Numbers which can be written using their digits in order and only multiplication and squaring operators.

%H Erich Friedman, <a href="https://erich-friedman.github.io/mathmagic/0803.html">Problem of the month August 2003</a>

%e 128 = 1*2^2*8. 175=1*7*5^2. 384=3*8*4^2. 672=6*7*(2^2)^2.

%e 735 = 7^2*3*5. 1296 = 1*2^2*9*6^2. 6144=6*4*(4^2)^2.

%e 21233664 = ((2^2)^2)^2*1*(2^2)^2*3*3*6*6*4^2.

%K nonn,base

%O 1,1

%A _Kausthub Gudipati_, Sep 02 2011

%E Example corrected by _Harvey P. Dale_, Aug 20 2012