Number of partitions of the (n+4)-multiset {0,...,0,1,2,3,4} with n 0's into distinct multisets.

Terms

a(0) =15a(1) =52a(2) =120a(3) =244a(4) =442a(5) =750a(6) =1213a(7) =1887a(8) =2840a(9) =4168a(10) =5988a(11) =8441a(12) =11709a(13) =16009a(14) =21612a(15) =28853a(16) =38128a(17) =49915a(18) =64801a(19) =83473a(20) =106758a(21) =135645a(22) =171296a(23) =215082a(24) =268626a(25) =333826a(26) =412905a(27) =508469a(28) =623546a(29) =761653