Triangle T(n, k) = binomial(2*n, n) + binomial(n, k)^2, read by rows.

Terms

a(0) =2a(1) =3a(2) =3a(3) =7a(4) =10a(5) =7a(6) =21a(7) =29a(8) =29a(9) =21a(10) =71a(11) =86a(12) =106a(13) =86a(14) =71a(15) =253a(16) =277a(17) =352a(18) =352a(19) =277a(20) =253a(21) =925a(22) =960a(23) =1149a(24) =1324a(25) =1149a(26) =960a(27) =925a(28) =3433a(29) =3481