Matrix 10th power of inverse partition triangle A038498.

Terms

a(0) =1a(1) =-10a(2) =1a(3) =45a(4) =-10a(5) =1a(6) =-65a(7) =35a(8) =-10a(9) =1a(10) =-120a(11) =-20a(12) =35a(13) =-10a(14) =1a(15) =408a(16) =-140a(17) =-30a(18) =35a(19) =-10a(20) =1a(21) =-43a(22) =223a(23) =-95a(24) =-30a(25) =35a(26) =-10a(27) =1a(28) =-703a(29) =180