Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,6} with n 0's into distinct multisets.

Terms

a(0) =203a(1) =877a(2) =2407a(3) =5516a(4) =11147a(5) =20739a(6) =36332a(7) =60727a(8) =97666a(9) =152237a(10) =231164a(11) =343173a(12) =499604a(13) =714931a(14) =1007585a(15) =1400910a(16) =1924105a(17) =2613514a(18) =3514300a(19) =4682017a(20) =6184837a(21) =8106095a(22) =10547063a(23) =13630338a(24) =17503905a(25) =22345618a(26) =28368542a(27) =35827240a(28) =45024773a(29) =56320882