Number of inequivalent planar partitions of n, when considering them as 3D objects.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =11a(7) =19a(8) =33a(9) =55a(10) =95a(11) =158a(12) =267a(13) =442a(14) =731a(15) =1193a(16) =1947a(17) =3137a(18) =5039a(19) =8026a(20) =12726a(21) =20024a(22) =31373a(23) =48835a(24) =75673a(25) =116606a(26) =178889a(27) =273061a(28) =415086a(29) =628115