T(n, k) = numerator([x^n] N(1/2, n, x)) where N(a, n, x) is the n-th Nørlund polynomial.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =1a(4) =-1a(5) =1a(6) =1a(7) =1a(8) =-3a(9) =1a(10) =-3a(11) =1a(12) =1a(13) =-1a(14) =1a(15) =-19a(16) =-3a(17) =5a(18) =5a(19) =-5a(20) =1a(21) =79a(22) =-19a(23) =-9a(24) =5a(25) =5a(26) =-3a(27) =1a(28) =275a(29) =79