a(n) = floor(Gamma(n+7/12)/Gamma(7/12)).

Terms

a(0) =1a(1) =0a(2) =0a(3) =2a(4) =8a(5) =39a(6) =218a(7) =1440a(8) =10922a(9) =93754a(10) =898484a(11) =9508956a(12) =110145408a(13) =1385996396a(14) =18826451052a(15) =274552411175