Matrix inverse of triangle A122177, where A122177(n,k) = C( k*(k+1)/2 + n-k + 2, n-k) for n>=k>=0.

Terms

a(0) =1a(1) =-3a(2) =1a(3) =6a(4) =-4a(5) =1a(6) =-16a(7) =14a(8) =-6a(9) =1a(10) =63a(11) =-62a(12) =33a(13) =-9a(14) =1a(15) =-351a(16) =365a(17) =-215a(18) =72a(19) =-13a(20) =1a(21) =2609a(22) =-2790a(23) =1731a(24) =-642a(25) =143a(26) =-18a(27) =1a(28) =-24636a(29) =26749