Number of unordered pairs of partitions of n with the same number of parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =18a(7) =28a(8) =52a(9) =86a(10) =151a(11) =246a(12) =431a(13) =694a(14) =1167a(15) =1884a(16) =3095a(17) =4904a(18) =7919a(19) =12379a(20) =19596a(21) =30315a(22) =47117a(23) =71922a(24) =110332a(25) =166403a(26) =251547a(27) =375575a(28) =560787a(29) =828276