a(n) = floor(Gamma(n+5/12)/Gamma(5/12)).

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =4a(5) =21a(6) =116a(7) =748a(8) =5549a(9) =46704a(10) =439802a(11) =4581280a(12) =52302949a(13) =649428293a(14) =8713162939a(15) =125614765716