Matrix 5th power of inverse partition triangle A038498.

Terms

a(0) =1a(1) =-5a(2) =1a(3) =10a(4) =-5a(5) =1a(6) =5a(7) =5a(8) =-5a(9) =1a(10) =-35a(11) =15a(12) =5a(13) =-5a(14) =1a(15) =4a(16) =-20a(17) =10a(18) =5a(19) =-5a(20) =1a(21) =36a(22) =-26a(23) =-10a(24) =10a(25) =5a(26) =-5a(27) =1a(28) =21a(29) =10