A symmetrical triangular sequence:t(n,m)=(StirlingS1[n, m] + StirlingS1[n, n - m])*Binomial[n, m] - (StirlingS1[n, 0] + StirlingS1[n, n - 0])* Binomial[n, 0] + 1.

A174834

A symmetrical triangular sequence:t(n,m)=(StirlingS1[n, m] + StirlingS1[n, n - m])*Binomial[n, m] - (StirlingS1[n, 0] + StirlingS1[n, n - 0])* Binomial[n, 0] + 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-4a(5) =1a(6) =1a(7) =-3a(8) =-3a(9) =1a(10) =1a(11) =-48a(12) =132a(13) =-48a(14) =1a(15) =1a(16) =70a(17) =-150a(18) =-150a(19) =70a(20) =1a(21) =1a(22) =-810a(23) =5385a(24) =-9000a(25) =5385a(26) =-810a(27) =1a(28) =1a(29) =4893

External references