Winning binary "same game" templates of length n as defined below.

Terms

a(0) =1a(1) =1a(2) =4a(3) =7a(4) =20a(5) =39a(6) =96a(7) =191a(8) =432a(9) =863a(10) =1856a(11) =3711a(12) =7744a(13) =15487a(14) =31744a(15) =63487a(16) =128768a(17) =257535a(18) =519168a(19) =1038335a(20) =2085888a(21) =4171775a(22) =8364032a(23) =16728063a(24) =33501184a(25) =67002367a(26) =134103040a(27) =268206079a(28) =536625152a(29) =1073250303