%I A052508
%S A052508 4,5,10,26,70,188,510,1384,3760,10220,27779,75510,205256,557941,
%T A052508 1516639
%N A052508 Smallest number such that the largest set of positive real numbers whose 
               sum and product equals the number falls short by n.
%C A052508 Limit n->Inf. a(n+1)/a(n) = e
%D A052508 Mike Sheppard
%D A052508 Timothy M. Hsu, Private Communication
%e A052508 Let s be the number of elements in the largest set of positive real numbers 
               whose sum and products both equal x. Define m=x-s. a(n) is the smallest 
               x such that m=n.
%Y A052508 Sequence in context: A049898 A166577 A109675 this_sequence A074098 A126069 
               A147559
%Y A052508 Adjacent sequences: A052505 A052506 A052507 this_sequence A052509 A052510 
               A052511
%K A052508 nonn
%O A052508 0,1
%A A052508 Mike Sheppard (guinness42(AT)hotmail.com), Mar 17 2000