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Beginning with 1, least multiple of a(n) not divisible by 5 such that no digit is common between a(n) and a(n+1).
1

%I #9 Jan 11 2020 00:34:07

%S 1,2,4,8,16,32,64,128,3456,127872,6649344,1010700288,46655946694656,

%T 1313038307827703808,946546544999554566644656594944,

%U 183011223033027037132010301880878170112

%N Beginning with 1, least multiple of a(n) not divisible by 5 such that no digit is common between a(n) and a(n+1).

%C The sequence seems to be finite but not obviously. Can someone prove this and find the last term?

%C Conjecture: Sequence is infinite with terms from a(12) onwards alternating between integers with the four digits 4,5,6,9 and integers with the remaining six digits 0,1,2,3,7,8. - _William Rex Marshall_, Jul 19 2005

%Y Cf. A109913.

%K base,nonn

%O 0,2

%A _Amarnath Murthy_, Jul 16 2005

%E More terms from _William Rex Marshall_, Jul 19 2005