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%I #12 Aug 12 2021 04:07:22
%S 11,12,13,14,15,16,17,18,19,21,22,24,26,28,31,33,36,39,41,42,44,48,51,
%T 55,61,62,63,66,71,77,81,82,84,88,91,93,99,101,102,105,111,121,122,
%U 123,124,126,131,141,142,147,151,153,155,161,162,164,168,171,181,182,183,186
%N Numbers which divided into two substrings by breaking at any digit then one of them divides the other (0 is not to be considered a substring, multiples of 10 are excluded).
%C Conjecture: sequence is finite.
%C The conjecture above is false as terms of the form d00...00d, where d goes from 1 to 9, are always in the sequence. - _FUNG Cheok Yin_, Aug 12 2021
%H FUNG Cheok Yin, <a href="/A070255/b070255.txt">Table of n, a(n) for n = 1..1000</a>
%e 168 is a member as the possible substring partitions are (1,68 ) and (16,8). 1 divides 68 and 8 divides 16. 111111 is also a member with substring partitions (1,11111),(11,1111),(111,111),(1111,11),(11111,1). 1111111 is not a member as in the sub string partition (111,1111) 111 does not divide 1111.
%K base,nonn
%O 1,1
%A _Amarnath Murthy_, May 06 2002
%E Corrected by _T. D. Noe_, Oct 25 2006
%E Missing terms 33 and 153 added by _FUNG Cheok Yin_, Aug 12 2021
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