Number of winning binary "same game" templates with ternary digits totaling n.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =2a(6) =4a(7) =9a(8) =13a(9) =28a(10) =46a(11) =84a(12) =146a(13) =252a(14) =433a(15) =736a(16) =1242a(17) =2087a(18) =3482a(19) =5791a(20) =9587a(21) =15823a(22) =26038a(23) =42743a(24) =70016a(25) =114485a(26) =186903a(27) =304728a(28) =496260a(29) =807395