Number of integer partitions of n having a permutation with all equal run-lengths.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =9a(7) =11a(8) =18a(9) =21a(10) =31a(11) =38a(12) =56a(13) =67a(14) =94a(15) =121a(16) =162a(17) =199a(18) =265a(19) =330a(20) =438a(21) =543a(22) =693a(23) =859a(24) =1103a(25) =1353a(26) =1702a(27) =2097a(28) =2619a(29) =3194