Column 3 of triangle in A144505, negated.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =14a(6) =175a(7) =2330a(8) =34300a(9) =561386a(10) =10179309a(11) =203240850a(12) =4439192835a(13) =105413331100