Number of decompositions of highly composite numbers (A002182) into unordered sums of two primes.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =1a(5) =3a(6) =4a(7) =5a(8) =6a(9) =12a(10) =14a(11) =18a(12) =22a(13) =39a(14) =51a(15) =68a(16) =83a(17) =112a(18) =184a(19) =251a(20) =315a(21) =431a(22) =527a(23) =652a(24) =768a(25) =1011a(26) =1128a(27) =1305a(28) =1836a(29) =2344