Triangle: q=2; m=1; t(n,k) = If[m == 0, n!, Product[Sum[(-1)^i*StirlingS2[ k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m) = If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].

A156593

Triangle: q=2; m=1; t(n,k) = If[m == 0, n!, Product[Sum[(-1)^i*StirlingS2[ k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m) = If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-2a(5) =1a(6) =1a(7) =2a(8) =2a(9) =1a(10) =1a(11) =2a(12) =-2a(13) =2a(14) =1a(15) =1a(16) =-6a(17) =6a(18) =6a(19) =-6a(20) =1a(21) =1a(22) =-14a(23) =-42a(24) =-42a(25) =-42a(26) =-14a(27) =1a(28) =1a(29) =26

External references