Search: id:A113028
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%I A113028
%S A113028 1,2,54,108,152,16200,2042460,4416720,9867312,2334364200,421877610,
%T A113028 1779700673520
%N A113028 a(n) is the largest integer whose base n digits are all different that 
               is divisible by each of its individual digits.
%C A113028 Note that this definition precludes the digit 0 appearing anywhere in 
               the base n representation of the number.
%D A113028 "Enigma 1343: Digital Dividend", New Scientist, Jun 04 2005, p. 28.
%e A113028 a(2) = 1 trivially because that is the only number in base 2 that does 
               not contain 0.
%e A113028 a(4) = 54 because in base 4, 54 is 312_4. There is only one number containing 
               different digits and no zeros higher than that, namely 321_4, but 
               321_4 is not divisible by 2.
%Y A113028 Sequence in context: A087865 A083471 A078691 this_sequence A055024 A057411 
               A157058
%Y A113028 Adjacent sequences: A113025 A113026 A113027 this_sequence A113029 A113030 
               A113031
%K A113028 nonn,more
%O A113028 2,2
%A A113028 Peter M. Boothe (peter(AT)cs.uoregon.edu), Jan 03 2006
%E A113028 3 more terms from Francis Carr (fcarr(AT)alum.mit.edu), Feb 08 2006

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