Number of partitions of n which have nonconstant reversal sums, as defined in Comments.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =3a(5) =3a(6) =10a(7) =13a(8) =20a(9) =29a(10) =49a(11) =54a(12) =93a(13) =116a(14) =151a(15) =206a(16) =287a(17) =342a(18) =479a(19) =579a(20) =752a(21) =968a(22) =1242a(23) =1489a(24) =1923a(25) =2393a(26) =2950a(27) =3631a(28) =4549a(29) =5456