Number of plane partitions of n with 3 or more columns.

Terms

a(0) =0a(1) =0a(2) =1a(3) =3a(4) =8a(5) =19a(6) =41a(7) =85a(8) =167a(9) =319a(10) =588a(11) =1066a(12) =1880a(13) =3272a(14) =5588a(15) =9431a(16) =15686a(17) =25841a(18) =42070a(19) =67926a(20) =108634a(21) =172467a(22) =271643a(23) =425109a(24) =660756a(25) =1021170a(26) =1568905a(27) =2398059a(28) =3646437a(29) =5519025