[seqfan] The remainder - is at the start of a(n)

Eric Angelini Eric.Angelini at kntv.be
Tue Jan 14 12:42:58 CET 2014


Hello SeqFans,

If you divide 234 by 4, the remainder is 2 (234=4*58+2).
Thus 234, divided by its last digit (4) has its first digit as remainder (2).
The same happens with 13, as 13 divided by 3 leaves 1 as remainder.

If I'm not wrong, we get the sequence S of such integers:
S = 13, 19, 23, 29, 39, 46, 49, 59, 69, 79, 89, 103, 109, 127, 203, 209, 234,...
S is infinite, of course, as 13, 103, 1003, 10003,... are members too.

T, the sequence of integers which, when divided by their first digit, have their 
last digit as remainder, is http://oeis.org/A210589

Best,
É.



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