[seqfan] a.b.c = concatenation of [ab]
Eric Angelini
Eric.Angelini at kntv.be
Fri Mar 16 17:59:45 CET 2012
Hello SeqFan,
looking for integers a, b and c such that a.b.c = [ab]
[ab] being the concatenation of a and b.
An S sequence of such [ab]s would include those:
S = 11, 12, 15, 24, 36, 110, 120, 150, 240, 360, ...
a = 1 1 1 2 3 1 1 1 2 3 ...
b = 1 2 5 4 6 10 20 50 40 60 ...
c = 11 6 3 3 2 11 6 3 3 2 ...
Are there [ab] integers escaping the above pattern?
In graphic terms, we are looking for integers
like ABCDEFGHIJKLM divible by the product, say,
ABC.DEFGHIJKLM or ABCDEF.GHIJKLM or ABCDEFGHIJKL.M
or... etc.
(With ABC = 360 we have ABC divisible by A.BC)
Best,
É.
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