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Least number with distinct digits including digits 1,2,...,n and divisible by each of 1,2,...,n.
1

%I #3 Mar 30 2012 17:36:44

%S 1,12,132,12348,123540,1234560,123487560,123487560,1234759680

%N Least number with distinct digits including digits 1,2,...,n and divisible by each of 1,2,...,n.

%C The first three terms are Lynch-Bell numbers (A115569).

%e a(4) = 12348 as it is the least positive integer with no duplicate digits, including at least one of each decimal digit 1, 2, 3 and 4 and which is also divisible by each of these same numbers. (12348 is not divisible by 8.).

%Y Cf. A120673 (same but digits need not be distinct), A115569.

%K base,fini,full,nonn

%O 1,2

%A _Rick L. Shepherd_, Jun 23 2006