%I A089583
%S A089583 1,2,3,4,5,6,7,8,9,10,19,21,29,39,40,49,59,69,79,89,90,91,92,93,94,95,
%T A089583 96,97,98,99,100,109,112,119,120,129,139,149,159,169,179,189,190,191,
%U A089583 192,193,194,195,196,197,198,199,209,210,219,229,239,249,259,269,279,289
%N A089583 Numbers n which are a multiple of A068505(n) (= n read in base m+1 where 
               m = largest digit of n).
%C A089583 Note that all single digit numbers are included as they equal themselves 
               when converted to base b+1. 3 in base 4 is 3 and of course divides 
               evenly into the original value of 3. Note also that all numbers containing 
               the digit 9 can only be interpreted as base 10 numbers, which of 
               course divide themselves. These represent the trivial sequence members. 
               A nontrivial member would be a value like 624, which when interpreted 
               as a base 7 number yields 312 in base 10 which evenly divides 624. 
               See sequence A089584 for the nontrivial members of this sequence.
%e A089583 a(10)=10 because when 10 is interpreted as base 2 and converted back 
               to base 10, the result, 2, divides evenly into 10.
%o A089583 (PARI) is_A089583(n,d,b)={ 9<(b=1+vecmax(d=eval(Vec(Str(n))))) | n%sum(i=1,
               #d,d[i]*b^(#d-i))==0 } \\ M. F. Hasler, Apr 05 2009
%Y A089583 Cf. A054055 (largest digit of n), A068505 (n as base b+1 number where 
               b=largest digit of n), A089584 (nontrivial members of this sequence).
%Y A089583 Sequence in context: A119246 A108191 A108193 this_sequence A032865 A032889 
               A009995
%Y A089583 Adjacent sequences: A089580 A089581 A089582 this_sequence A089584 A089585 
               A089586
%K A089583 base,nonn
%O A089583 1,2
%A A089583 Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 08 2003
%E A089583 Definition reworded, minor corrections by M. F. Hasler (MHasler(AT)univ-ag.fr), 
               Apr 05 2009