Triangle read by rows: T(n, k) = [x^k] (n*x + 1)*Hypergeometric([-n, -n + 1], [1], x).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =4a(6) =1a(7) =9a(8) =21a(9) =9a(10) =1a(11) =16a(12) =66a(13) =76a(14) =16a(15) =1a(16) =25a(17) =160a(18) =340a(19) =205a(20) =25a(21) =1a(22) =36a(23) =330a(24) =1100a(25) =1275a(26) =456a(27) =36a(28) =1a(29) =49