a(n) is the smallest tetrahedral number with binary weight n.

Terms

a(0) =0a(1) =1a(2) =10a(3) =35a(4) =120a(5) =220a(6) =455a(7) =2024a(8) =1771a(9) =4060a(10) =14190a(11) =16215a(12) =129766a(13) =32509a(14) =1414910a(15) =1823471a(16) =5159805a(17) =8171255a(18) =4192244a(19) =24117100a(20) =30865405a(21) =334985911a(22) =192937325a(23) =1610599145a(24) =1048440315a(25) =4261347265a(26) =4244012991a(27) =63828916911a(28) =213588635511a(29) =133110357279