Binomial transform of the number of planar partitions (A000219).

Terms

a(0) =1a(1) =2a(2) =6a(3) =19a(4) =60a(5) =185a(6) =559a(7) =1662a(8) =4875a(9) =14134a(10) =40564a(11) =115370a(12) =325465a(13) =911355a(14) =2534595a(15) =7004827a(16) =19246626a(17) =52596377a(18) =143006632a(19) =386984573a(20) =1042537831a(21) =2796803110a(22) =7473161196a(23) =19893461042a(24) =52767059608a(25) =139488323734a(26) =367540167625a(27) =965445514862