Number of integer partitions of n without all different sums of two-element submultisets.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =1a(9) =1a(10) =3a(11) =4a(12) =9a(13) =11a(14) =22a(15) =27a(16) =48a(17) =61a(18) =98a(19) =123a(20) =188a(21) =237a(22) =345a(23) =435a(24) =611a(25) =765a(26) =1046a(27) =1305a(28) =1741a(29) =2165