Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,5} with n 0's into distinct multisets.

Terms

a(0) =52a(1) =203a(2) =514a(3) =1112a(4) =2134a(5) =3799a(6) =6404a(7) =10340a(8) =16108a(9) =24388a(10) =36052a(11) =52197a(12) =74231a(13) =103904a(14) =143412a(15) =195498a(16) =263518a(17) =351581a(18) =464740a(19) =609093a(20) =792031a(21) =1022482a(22) =1311139a(23) =1670781a(24) =2116665a(25) =2666901a(26) =3342939a(27) =4170146a(28) =5178386a(29) =6402733