A triangle sequence related to the Eulerian numbers of the second kind: t(n,m) = Sum_{i=0..m}(-1)^(m-i)*binomial(n-i-1, m-i)*Stirling2(n+i+1, i+1).
A156363
A triangle sequence related to the Eulerian numbers of the second kind: t(n,m) = Sum_{i=0..m}(-1)^(m-i)*binomial(n-i-1, m-i)*Stirling2(n+i+1, i+1).
Terms
- a(0) =1a(1) =1a(2) =3a(3) =1a(4) =6a(5) =25a(6) =1a(7) =13a(8) =76a(9) =350a(10) =1a(11) =28a(12) =242a(13) =1430a(14) =6951a(15) =1a(16) =59a(17) =783a(18) =6023a(19) =35659a(20) =179487a(21) =1a(22) =122a(23) =2527a(24) =25782a(25) =187092a(26) =1108128a(27) =5715424a(28) =1a(29) =249
External references
- oeis: A156363