Triangle read by rows: t(n,m) = Sum_{i=0..n} (-1)^(m-i)*Eulerian1(n-i+1, m-i) *Stirling2(n+i+1, i+1), where Eulerian1 are the Eulerian numbers of the first kind (A173018).
A156364
Triangle read by rows: t(n,m) = Sum_{i=0..n} (-1)^(m-i)*Eulerian1(n-i+1, m-i) *Stirling2(n+i+1, i+1), where Eulerian1 are the Eulerian numbers of the first kind (A173018).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =19a(6) =1a(7) =4a(8) =41a(9) =274a(10) =1a(11) =5a(12) =26a(13) =812a(14) =5521a(15) =1a(16) =6a(17) =-370a(18) =1000a(19) =20490a(20) =143828a(21) =1a(22) =7a(23) =-3023a(24) =-8607a(25) =34062a(26) =640356a(27) =4607296a(28) =1a(29) =8
External references
- oeis: A156364