Matrix inverse of triangle A122176, where A122176(n,k) = C( k*(k+1)/2 + n-k + 1, n-k) for n>=k>=0.

Terms

a(0) =1a(1) =-2a(2) =1a(3) =3a(4) =-3a(5) =1a(6) =-7a(7) =9a(8) =-5a(9) =1a(10) =26a(11) =-37a(12) =25a(13) =-8a(14) =1a(15) =-141a(16) =210a(17) =-155a(18) =60a(19) =-12a(20) =1a(21) =1034a(22) =-1575a(23) =1215a(24) =-516a(25) =126a(26) =-17a(27) =1a(28) =-9693a(29) =14943