Floor(Gamma(n/4)).

Terms

a(0) =3a(1) =1a(2) =1a(3) =1a(4) =0a(5) =0a(6) =0a(7) =1a(8) =1a(9) =1a(10) =1a(11) =2a(12) =2a(13) =3a(14) =4a(15) =6a(16) =8a(17) =11a(18) =16a(19) =24a(20) =35a(21) =52a(22) =78a(23) =120a(24) =184a(25) =287a(26) =453a(27) =720a(28) =1155a(29) =1871