# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a120411 Showing 1-1 of 1 %I A120411 #13 Dec 13 2015 23:08:17 %S A120411 1,3,7,15,30,59,114,219,416,783,1461,2722,5048,9341,17243,31674,58037, %T A120411 105936,192522,348832 %N A120411 If A is a set of integers, the (2-fold) sumset consists of all the numbers which can be written as the sum of two (not necessarily distinct) elements in A. a(n) is the number of subsets of [1,2n] which are sumsets for some set of positive integers. %C A120411 The relation a(n+1)-a(n) = A190820(n) seems to hold. - _Giovanni Resta_, Jan 15 2013 %e A120411 a(5)=30 because two of the 31 (nonempty) subsets of [1,5], namely {1,2,4,5} and {1,2,3,4,5} have the sumset {2,3,4,5,6,7,8,9,10} and no two other subsets of [1,5] have the same sumset. %K A120411 nonn,more %O A120411 1,2 %A A120411 _David S. Newman_, Jul 05 2006 %E A120411 a(14)-a(20) from _Carl Najafi_, Jan 15 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE