Matrix 5th power of partition triangle A008284.

Terms

a(0) =1a(1) =5a(2) =1a(3) =15a(4) =5a(5) =1a(6) =45a(7) =20a(8) =5a(9) =1a(10) =110a(11) =60a(12) =20a(13) =5a(14) =1a(15) =271a(16) =170a(17) =65a(18) =20a(19) =5a(20) =1a(21) =599a(22) =426a(23) =185a(24) =65a(25) =20a(26) =5a(27) =1a(28) =1309a(29) =1025