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a(1) = 3, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1).
8

%I #8 Aug 21 2022 14:07:11

%S 3,12,108,1188,10692,117612,1058508,11643588,104792292,1152715212,

%T 10374436908,114118805988,1027069253892,11297761792812,

%U 101679856135308,1118478417488388,10066305757395492,110729363331350412

%N a(1) = 3, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1).

%t ntm[n_]:=Module[{c=Ceiling[10^IntegerLength[n]/n]},If[c==10,n(c+1),c n]]; NestList[ ntm,3,20] (* _Harvey P. Dale_, Aug 21 2022 *)

%Y Cf. A080445, A080446, A080448, A080449, A080450, A080451, A080452, A080453.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Feb 23 2003

%E More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003