Matrix inverse of triangle A122178, where A122178(n,k) = C( n*(n+1)/2 + n-k - 1, n-k) for n>=k>=0.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =-3a(4) =-3a(5) =1a(6) =-17a(7) =-3a(8) =-6a(9) =1a(10) =-160a(11) =-25a(12) =5a(13) =-10a(14) =1a(15) =-2088a(16) =-285a(17) =-35a(18) =30a(19) =-15a(20) =1a(21) =-34307a(22) =-4179a(23) =-420a(24) =-91a(25) =84a(26) =-21a(27) =1a(28) =-675091a(29) =-74823