Total sum of number of lambda-parking functions, where lambda ranges over all partitions of n.

Terms

a(0) =1a(1) =1a(2) =3a(3) =7a(4) =18a(5) =40a(6) =97a(7) =216a(8) =499a(9) =1112a(10) =2502a(11) =5503a(12) =12197a(13) =26582a(14) =58088a(15) =125619a(16) =271713a(17) =583228a(18) =1251115a(19) =2668651a(20) =5685053a(21) =12059993a(22) =25544291a(23) =53926003a(24) =113666195a(25) =238946232a(26) =501546514a(27) =1050430420a(28) =2196869731a(29) =4586021745