T(n, k) = [x^k] Sum_{j=0..n} Pochhammer(x, j), for 0 <= k <= n, triangle read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =4a(8) =4a(9) =1a(10) =1a(11) =10a(12) =15a(13) =7a(14) =1a(15) =1a(16) =34a(17) =65a(18) =42a(19) =11a(20) =1a(21) =1a(22) =154a(23) =339a(24) =267a(25) =96a(26) =16a(27) =1a(28) =1a(29) =874