a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3).

Terms

a(0) =1a(1) =11a(2) =48a(3) =141a(4) =331a(5) =672a(6) =1232a(7) =2094a(8) =3357a(9) =5137a(10) =7568a(11) =10803a(12) =15015a(13) =20398a(14) =27168a(15) =35564a(16) =45849a(17) =58311a(18) =73264a(19) =91049a(20) =112035a(21) =136620a(22) =165232a(23) =198330a(24) =236405a(25) =279981a(26) =329616a(27) =385903a(28) =449471a(29) =520986