Numerator of Sum[ i^3/(n-i+1)^2, {i,1,n}].

Terms

a(0) =1a(1) =33a(2) =262a(3) =10325a(4) =7227a(5) =923027a(6) =4588732a(7) =49631229a(8) =29087285a(9) =1618749187a(10) =152762993a(11) =69307256941a(12) =191848206263a(13) =702044812445