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a(1) = 1, a(n) = least proper multiple of a(n-1) which is a concatenation of two or more successive numbers.
2

%I #9 Jul 28 2013 16:07:23

%S 1,12,456,415416,194191194192,3816727961538167279616,

%T 35270249819024056401913527024981902405640192

%N a(1) = 1, a(n) = least proper multiple of a(n-1) which is a concatenation of two or more successive numbers.

%H Paul Tek, <a href="/A225796/b225796.txt">Table of n, a(n) for n = 1..11</a>

%H Paul Tek, <a href="/A225796/a225796.gp.txt">PARI program for this sequence</a>

%e 12 is the least proper multiple of 1 in A035333, hence a(2)=12.

%e 456 is the least proper multiple of 12 in A035333, hence a(3)=456.

%o (PARI) See Links section.

%Y Cf. A035333, A094333.

%K nonn,base

%O 1,2

%A _Paul Tek_, Jul 27 2013