T(n, k) = Sum_{j=0..k} binomial(n, k - j)*Stirling2(n - k + j, j). Triangle read by rows, 0 <= k <= n.

A340264

T(n, k) = Sum_{j=0..k} binomial(n, k - j)*Stirling2(n - k + j, j). Triangle read by rows, 0 <= k <= n.

Terms

    a(0) =1a(1) =0a(2) =2a(3) =0a(4) =1a(5) =4a(6) =0a(7) =1a(8) =6a(9) =8a(10) =0a(11) =1a(12) =11a(13) =24a(14) =16a(15) =0a(16) =1a(17) =20a(18) =70a(19) =80a(20) =32a(21) =0a(22) =1a(23) =37a(24) =195a(25) =340a(26) =240a(27) =64a(28) =0a(29) =1

External references