Triangle read by rows, T(n,k) = Sum_{j=0..n} (-1)^(n-j)*C(-j-1,-n-1)*S1(k,j), S1 the Stirling cycle numbers A132393, for n>=0 and 0<=k<=n.

A271700

Triangle read by rows, T(n,k) = Sum_{j=0..n} (-1)^(n-j)*C(-j-1,-n-1)*S1(k,j), S1 the Stirling cycle numbers A132393, for n>=0 and 0<=k<=n.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =1a(7) =3a(8) =6a(9) =16a(10) =1a(11) =4a(12) =10a(13) =30a(14) =115a(15) =1a(16) =5a(17) =15a(18) =50a(19) =205a(20) =1021a(21) =1a(22) =6a(23) =21a(24) =77a(25) =336a(26) =1750a(27) =10696a(28) =1a(29) =7

External references