Triangle read by rows: T(n, m) = floor(binomial(n+1, m)* binomial(n+2, m)/(2*m+2)), 1 <= m <= n.

Terms

a(0) =1a(1) =3a(2) =3a(3) =5a(4) =10a(5) =5a(6) =7a(7) =25a(8) =25a(9) =7a(10) =10a(11) =52a(12) =87a(13) =52a(14) =10a(15) =14a(16) =98a(17) =245a(18) =245a(19) =98a(20) =14a(21) =18a(22) =168a(23) =588a(24) =882a(25) =588a(26) =168a(27) =18a(28) =22a(29) =270