[seqfan] a(n), a(n+1), [a(n)+a(n+1)] share no digits

Eric Angelini Eric.Angelini at kntv.be
Mon Aug 31 18:22:11 CEST 2009

Hello SeqFans,
we consider two consecutive integers ("a" and "b") from a
monotonically increasing seq S, and their sum "c"; we want

"a" shares no digit with "b"
"b" shares no digit with "c"
"c" shares no digit with "a"

Starting with 1, do we have:

S = 1,2,3,4,5,6,7,8,9,11,22,33,42,51,249,302,449,... ?
(to prolong S, take the smallest integer not leading to a

Does S stop at some point?
(is this old hat, BTW?)

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