Matrix 5th power of Stirling2 triangle A008277.

Terms

a(0) =1a(1) =5a(2) =1a(3) =35a(4) =15a(5) =1a(6) =315a(7) =215a(8) =30a(9) =1a(10) =3455a(11) =3325a(12) =725a(13) =50a(14) =1a(15) =44590a(16) =56605a(17) =17100a(18) =1825a(19) =75a(20) =1a(21) =660665a(22) =1060780a(23) =415555a(24) =60900a(25) =3850a(26) =105a(27) =1a(28) =11035095a(29) =21772595