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A166461 a(n) is the smallest integer > a(n-1) such that a(n) shares no digit with a(n-1) and c=a(n-1)+a(n), and also a(n-1) shares no digit with c. 2

%I #3 Mar 31 2012 21:08:29

%S 1,2,3,4,5,6,7,8,9,11,22,33,42,51,249,306,419,2587,3413,5255,6064,

%T 7255,8844,11156,22222,31778,60444,72755,88344,111656,222088,333361,

%U 422224,508887,622224,708887,922224,5138383

%N a(n) is the smallest integer > a(n-1) such that a(n) shares no digit with a(n-1) and c=a(n-1)+a(n), and also a(n-1) shares no digit with c.

%C For this particular case a(1)=1, the sequence is finite with the last term a(38)=5138383.

%C For other seeds a(1) the behavior of sequence may be different.

%e a=922224, b=5138383, c=6060607:

%e no common digit in pair(a,b),

%e no common digit in pair (a,c), and also

%e no common digit in pair (b,c).

%K base,fini,full,nonn

%O 1,2

%A _Eric Angelini_ and _Zak Seidov_, Oct 14 2009

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)