[seqfan] 10 different digits, 9 products

Eric Angelini Eric.Angelini at kntv.be
Tue Jan 3 13:08:53 CET 2012


Hello SeqFans,
I'm looking for all T numbers with 10 digits (digits must be
different one from another) having this property : 
when you multiply two touching digits of D, the result is 
visible in D (as a character string).
Example:
9071532486 --> the product 9*0 is in T ("0"); the product 0*7
is in T too ("0"); 7*1 ("7"); 1*5 ("5"); 5*3 ("15"); 3*2 ("6");
 2*4 ("8"); 4*8 ("32") et 8*6 ("48").
I have also 4297631805 (4*2="8"; 2*9="18"; 9*7="63"; 7*6="42";
6*3="18"; etc.)
The same for 5420976318, 7963205418, 5630187924, 5678142309, ...
This has a flavour of Zak's http://oeis.org/A134962
Best,
É.






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