a(n) = number of solid (i.e., three-dimensional) partitions of n.

Terms

a(0) =1a(1) =1a(2) =4a(3) =10a(4) =26a(5) =59a(6) =140a(7) =307a(8) =684a(9) =1464a(10) =3122a(11) =6500a(12) =13426a(13) =27248a(14) =54804a(15) =108802a(16) =214071a(17) =416849a(18) =805124a(19) =1541637a(20) =2930329a(21) =5528733a(22) =10362312a(23) =19295226a(24) =35713454a(25) =65715094a(26) =120256653a(27) =218893580a(28) =396418699a(29) =714399381