%I A100832
%S A100832 1,5,8,9,12,13,16,17,20,21,24,25,28,29,32,33,36,37,40,41,44,45,48,49,52,
%T A100832 53,56,57,60,61,64,65,68,69,72,73,76,77,80,81,84,85,88,89,92,93,96,97,
%U A100832 100,101,104,105,108,109,112,113,116,117,120,121,124,125,128,129,132
%N A100832 Amenable numbers: n such that there exists a multiset of integers (s(1), 
               ..., s(n)) whose size, sum and product are all n.
%C A100832 Essentially the same as A042948.
%C A100832 The set {s(i)} is closed under multiplication. - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Jan 21 2005
%D A100832 O. P. Lossers, Solution to problem 10454, "Amenable Numbers", Amer. Math. 
               Monthly Vol. 105 No. 4 April 1998 MAA Washington DC.
%H A100832 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               AmenableNumber.html">Amenable Number</a>
%H A100832 Wikipedia, <a href="http://en.wikipedia.org/wiki/Amenable_number">Amenable 
               number</a>
%F A100832 Consists of the numbers n == 0 or 1 (mod 4), excluding n=4.
%e A100832 5 and 8, for instance, are in the sequence because we have 5=1-1+1-1+5=1*(-1)*1*(-1)*5 
               and 8=1-1+1-1+1+1+2+4=1*(-1)*1*(-1)*1*1*2*4.
%Y A100832 Cf. A014601.
%Y A100832 Sequence in context: A165991 A101079 A066812 this_sequence A034812 A066467 
               A072833
%Y A100832 Adjacent sequences: A100829 A100830 A100831 this_sequence A100833 A100834 
               A100835
%K A100832 nonn
%O A100832 1,2
%A A100832 Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 07 2005
%E A100832 More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 24 
               2005