Triangle read by rows:s(n,m)=Sum[StirlingS2[n, k]*StirlingS1[n - k, m]* Binomial[n, k]*(-1)^(m - k), {k, 0, n}];t[n,m]=s[n,m]+s[n,n-m].

A174555

Triangle read by rows:s(n,m)=Sum[StirlingS2[n, k]*StirlingS1[n - k, m]* Binomial[n, k]*(-1)^(m - k), {k, 0, n}];t[n,m]=s[n,m]+s[n,n-m].

Terms

    a(0) =2a(1) =-1a(2) =-1a(3) =1a(4) =4a(5) =1a(6) =-1a(7) =-15a(8) =-15a(9) =-1a(10) =1a(11) =78a(12) =108a(13) =78a(14) =1a(15) =-1a(16) =-635a(17) =-935a(18) =-935a(19) =-635a(20) =-1a(21) =1a(22) =7605a(23) =12315a(24) =9600a(25) =12315a(26) =7605a(27) =1a(28) =-1a(29) =-123396

External references