Search: id:A089584
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%I A089584
%S A089584 10,21,40,100,112,120,210,306,400,516,624,630,1000,1010,1102,1320,1344,
%T A089584 1422,2223,2240,2301,3430,4000,10000,10100,10101,10356,10360,11220,
%U A089584 12320,13440,14220,20202,21112,21210,21416,22400,30303,33036,34300
%N A089584 Numbers n which are a strict multiple (>1) of A068505(n) (= n read in 
               base m+1 where m = largest digit of n).
%C A089584 Also: Terms > 9 in A089583 without digit "9". - M. F. Hasler, Apr 05 
               2009
%C A089584 This sequence excludes the trivial members of A089583. Note that all 
               single digit numbers are excluded 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 once and are therefore excluded. See sequence A089583 
               for the full sequence including trivial members.
%e A089584 a(5)=112 because 112 in base 3 yields 14 in base 10, which evenly divides 
               112 (112/14 = 8). a(21)=2301 because 2301 in base 4 yields 177, which 
               evenly divides 2301 (2301/177=13).
%o A089584 (PARI) is_A089584(n,d,b)={ 10>(b=1+vecmax(d=eval(Vec(Str(n))))) & n%sum(i=1,
               #d,d[i]*b^(#d-i))==0 }
%Y A089584 Cf. A054055 (largest digit of n), A068505 (n as base b+1 number where 
               b=largest digit of n), A089583 (n mod A068505(n) = 0).
%Y A089584 Sequence in context: A075846 A164714 A060852 this_sequence A095824 A086225 
               A014007
%Y A089584 Adjacent sequences: A089581 A089582 A089583 this_sequence A089585 A089586 
               A089587
%K A089584 base,nonn
%O A089584 1,1
%A A089584 Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 08 2003
%E A089584 Definition reworded by M. F. Hasler (MHasler(AT)univ-ag.fr), Apr 05 2009

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