A078297 Triangle of numerators of Integrate[LegendreP[m,x]LegendreP[n,x],{x,0,1}].

1, 1, 1, 0, 1, 1, -1, 0, 1, 1, 0, -1, 0, 9, 1, 1, 0, -5, 0, 9, 1, 0, 1, 0, -1, 0, 25, 1, -5, 0, 7, 0, -35, 0, 25, 1, 0, -1, 0, 7, 0, -25, 0, 1225, 1, 7, 0, -15, 0, 27, 0, -525, 0, 1225, 1, 0, 7, 0, -27, 0, 189, 0, -245, 0, 3969, 1, -21, 0, 11, 0, -297, 0, 77, 0, -1617, 0, 3969, 1, 0, -3, 0, 77, 0, -55