p(5n+4) where p(k) = number of partitions of k = A000041(k).

Terms

a(0) =5a(1) =30a(2) =135a(3) =490a(4) =1575a(5) =4565a(6) =12310a(7) =31185a(8) =75175a(9) =173525a(10) =386155a(11) =831820a(12) =1741630a(13) =3554345a(14) =7089500a(15) =13848650a(16) =26543660a(17) =49995925a(18) =92669720a(19) =169229875a(20) =304801365a(21) =541946240a(22) =952050665a(23) =1653668665a(24) =2841940500a(25) =4835271870a(26) =8149040695a(27) =13610949895a(28) =22540654445a(29) =37027355200