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

Terms

a(0) =1a(1) =10a(2) =19a(3) =46a(4) =31a(5) =235a(6) =631a(7) =1786a(8) =1999a(9) =7669a(10) =7039a(11) =12286a(12) =16381a(13) =180094a(14) =114679a(15) =949231a(16) =2086831a(17) =2883574a(18) =4175839a(19) =12480511a(20) =50329585a(21) =62898151a(22) =132638719a(23) =234618814a(24) =771743710a(25) =2883510271a(26) =4269733885a(27) =8254119871a(28) =17045499901a(29) =33214168831