Row 1 of A018219, i.e., (1, n, a_n) is a winning position.

Terms

a(0) =2a(1) =4a(2) =0a(3) =3a(4) =1a(5) =6a(6) =5a(7) =12a(8) =15a(9) =17a(10) =14a(11) =20a(12) =7a(13) =19a(14) =10a(15) =8a(16) =28a(17) =9a(18) =31a(19) =13a(20) =11a(21) =32a(22) =38a(23) =33a(24) =41a(25) =43a(26) =40a(27) =42a(28) =16a(29) =49