A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)*StirlingS1[k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].
A156588
A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)*StirlingS1[k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-1a(5) =2a(6) =1a(7) =-1a(8) =2a(9) =6a(10) =1a(11) =-1a(12) =3a(13) =-12a(14) =24a(15) =1a(16) =-1a(17) =4a(18) =-36a(19) =288a(20) =120a(21) =1a(22) =-1a(23) =5a(24) =-80a(25) =2160a(26) =-34560a(27) =720a(28) =1a(29) =-1
External references
- oeis: A156588