a(n) = floor(n*(n+2)*(n+4)*(n-6)/192).

Terms

a(0) =0a(1) =-1a(2) =-1a(3) =-2a(4) =-2a(5) =-2a(6) =0a(7) =3a(8) =10a(9) =20a(10) =35a(11) =55a(12) =84a(13) =120a(14) =168a(15) =227a(16) =300a(17) =388a(18) =495a(19) =621a(20) =770a(21) =943a(22) =1144a(23) =1374a(24) =1638a(25) =1937a(26) =2275a(27) =2654a(28) =3080a(29) =3553