The nim value for the game of Sym with n tails and 1 head.

Terms

a(0) =1a(1) =2a(2) =4a(3) =3a(4) =6a(5) =7a(6) =8a(7) =16a(8) =18a(9) =25a(10) =32a(11) =11a(12) =64a(13) =31a(14) =128a(15) =10a(16) =256a(17) =5a(18) =512a(19) =28a(20) =1024a(21) =34a(22) =2048a(23) =47a(24) =4096a(25) =85