Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =10a(6) =19a(7) =30a(8) =45a(9) =66a(10) =94a(11) =130a(12) =172a(13) =221a(14) =278a(15) =344a(16) =422a(17) =511a(18) =611a(19) =723a(20) =848a(21) =987a(22) =1140a(23) =1308a(24) =1491a(25) =1691a(26) =1909a(27) =2146a(28) =2401a(29) =2673