T(n, k) = Sum_{m = 0..n-1} Stirling1(m+1, k)*binomial(n, m)*(-1)^(n + k), where "Stirling1" are the signed Stirling numbers of the first kind.

A367198

T(n, k) = Sum_{m = 0..n-1} Stirling1(m+1, k)*binomial(n, m)*(-1)^(n + k), where "Stirling1" are the signed Stirling numbers of the first kind.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =6a(5) =3a(6) =15a(7) =30a(8) =18a(9) =4a(10) =76a(11) =165a(12) =125a(13) =40a(14) =5a(15) =455a(16) =1075a(17) =930a(18) =380a(19) =75a(20) =6a(21) =3186a(22) =8015a(23) =7679a(24) =3675a(25) =945a(26) =126a(27) =7a(28) =25487a(29) =67536

External references