Triangle read by rows based on the Stirling numbers S1: t(n,m)=Sum[(-1)^(n + 1)* StirlingS1[n, j]*(k + 1 - j)^(n - 1), {j, 0, k + 1}].

A152918

Triangle read by rows based on the Stirling numbers S1: t(n,m)=Sum[(-1)^(n + 1)* StirlingS1[n, j]*(k + 1 - j)^(n - 1), {j, 0, k + 1}].

Terms

    a(0) =1a(1) =2a(2) =5a(3) =6a(4) =37a(5) =80a(6) =24a(7) =334a(8) =1179a(9) =2644a(10) =120a(11) =3566a(12) =20617a(13) =63413a(14) =146394a(15) =720a(16) =44316a(17) =413608a(18) =1766365a(19) =5161687a(20) =12157088a(21) =5040a(22) =632052a(23) =9362908a(24) =55669771a(25) =207499100a(26) =590541383a(27) =1411732608a(28) =40320a(29) =10212336

External references