Coefficient array for polynomials P(n,x)=x*P(n-1,x)+floor(n^2/4)*P(n-2,x), P(0,x)=1,P(1,x)=x.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =0a(5) =1a(6) =0a(7) =3a(8) =0a(9) =1a(10) =4a(11) =0a(12) =7a(13) =0a(14) =1a(15) =0a(16) =22a(17) =0a(18) =13a(19) =0a(20) =1a(21) =36a(22) =0a(23) =85a(24) =0a(25) =22a(26) =0a(27) =1a(28) =0a(29) =300