Triangle read by rows: T(0,0) = 1, T(n,0) = 0 for n > 0; T(n,k) = (1/(k-1)!) * Sum_{j=k..n} binomial(n,j) * Stirling1(j,k) * (n-j+k-1)!, 0 <= k <= n.

A389008

Triangle read by rows: T(0,0) = 1, T(n,0) = 0 for n > 0; T(n,k) = (1/(k-1)!) * Sum_{j=k..n} binomial(n,j) * Stirling1(j,k) * (n-j+k-1)!, 0 <= k <= n.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =5a(8) =3a(9) =1a(10) =0a(11) =14a(12) =23a(13) =6a(14) =1a(15) =0a(16) =94a(17) =120a(18) =65a(19) =10a(20) =1a(21) =0a(22) =444a(23) =1024a(24) =525a(25) =145a(26) =15a(27) =1a(28) =0a(29) =3828

External references