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%I A065015
%S A065015 1,5,4,8,6,14,7,15,12,22,7,26,9,24,23,30,8,42,11,31,21,29,12,56,18,32,
%T A065015 27,48,13,68,11,42,35,40,32,65,9,35,30,76,9,87,18,51,49,39,18,97,27,70,
%U A065015 31,52,14,108,36,72,33,52,17,120,15,37,66,90,36,93,12,63,44,123,19,130
%N A065015 Sum divides product: number of integer solutions (w,x,y,z), w>=x>=y>=z>
               0, to the equation w*x*y*z = n*(w+x+y+z).
%C A065015 See A063520 for the corresponding problem in three variables.
%e A065015 a(7)=7, since there are seven such solutions to wxyz=7(w+x+y+z): (42,
               2,2,2), (49,4,2,1), (7,4,4,1), (10,7,2,1), (70,8,1,1), (28,10,1,1) 
               and (16,14,1,1).
%Y A065015 A063520.
%Y A065015 Sequence in context: A003672 A081818 A023848 this_sequence A002340 A023845 
               A166517
%Y A065015 Adjacent sequences: A065012 A065013 A065014 this_sequence A065016 A065017 
               A065018
%K A065015 nonn
%O A065015 1,2
%A A065015 John W. Layman (layman(AT)math.vt.edu), Nov 01 2001

    
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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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