[seqfan] Product of digits touching the comma = first difference
Eric Angelini
Eric.Angelini at kntv.be
Tue Nov 8 13:07:33 CET 2011
Hello SeqFans,
S = 96, 102, 104, 108, 116, 122, 124, 128, 136,
142, 144, 148, 156, 162, 164, 168, 176, 182,
184, 188, 196, 208, 216, 228, 244, 252, 256,
268, 284, 292, 296, 314, ...
The first difference between two adjacent integers
is the product of the digits touching the comma:
S = 96, 102, 104, 108, 116, 122, 124, 128, 136,
dif 6 2 4 8 6 2 4 8
Is 96 the smallest integer producing an infinite
such sequence? (96 has no predecessor.)
Note that 9, for instance, has 8 possible succes-
sors (18,27,36... 81) -- 18 itself having 5 pos-
sible successors (58,66,74,82,90).
384 has two possible successors (396 and 400).
Integers ending with zero loop on themselves:
10,10,10,...
If 96 doesn't produce an infinite sequence, is
there an integer which does?
Best,
É.
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