%I #7 Apr 19 2015 08:50:29
%S 1,0,1,0,-1,1,0,1,-3,1,0,1,6,-6,1,0,-15,10,20,-10,1,0,48,-225,50,50,
%T -15,1,0,581,1008,-1575,175,105,-21,1,0,-11069,16268,9408,-7350,490,
%U 196,-28,1,0,20784,-398484,195216,56448,-26460,1176,336,-36,1
%N Triangle read by rows, T(n,k) matrix inverse of A256550, for n>=0 and 0<=k<=n.
%F T(n+1,n) = -A000217(n).
%F T(n+2,n) = A002415(n+1).
%F For T(n,1) compare A006542.
%e Triangle starts:
%e [1]
%e [0, 1]
%e [0, -1, 1]
%e [0, 1, -3, 1]
%e [0, 1, 6, -6, 1]
%e [0, -15, 10, 20, -10, 1]
%e [0, 48, -225, 50, 50, -15, 1]
%e [0, 581, 1008, -1575, 175, 105, -21, 1]
%Y Cf. A000217, A002415, A006542, A256550.
%K sign,tabl,easy
%O 0,9
%A _Peter Luschny_, Apr 01 2015