A triangular sequence:f(n)=Sum[StirlingS2[n, k], {k, 1, n}];t(n,m)=Binomial[n, m]*f(m + 1)*f(n - m + 1)-Binomial[n,0]*f(1)*f(n+1)+1.

A174639

A triangular sequence:f(n)=Sum[StirlingS2[n, k], {k, 1, n}];t(n,m)=Binomial[n, m]*f(m + 1)*f(n - m + 1)-Binomial[n,0]*f(1)*f(n+1)+1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =16a(8) =16a(9) =1a(10) =1a(11) =69a(12) =99a(13) =69a(14) =1a(15) =1a(16) =318a(17) =548a(18) =548a(19) =318a(20) =1a(21) =1a(22) =1560a(23) =3024a(24) =3624a(25) =3024a(26) =1560a(27) =1a(28) =1a(29) =8139

External references