Triangle read by rows, T(n, k) = Sum_{m=0..k} (-1)^(m + k)*binomial(n + k, n + m) * |Stirling1(n + m, m)|, for n >= 0, 0 <= k <= n.

A269940

Triangle read by rows, T(n, k) = Sum_{m=0..k} (-1)^(m + k)*binomial(n + k, n + m) * |Stirling1(n + m, m)|, for n >= 0, 0 <= k <= n.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =3a(6) =0a(7) =6a(8) =20a(9) =15a(10) =0a(11) =24a(12) =130a(13) =210a(14) =105a(15) =0a(16) =120a(17) =924a(18) =2380a(19) =2520a(20) =945a(21) =0a(22) =720a(23) =7308a(24) =26432a(25) =44100a(26) =34650a(27) =10395a(28) =0a(29) =5040

External references