The PolyLog functional part of A008292 (the Eulerian numbers) is treated as a curvature to give a set of polynomial triangle sequence coefficients: p(x,n)=Sum[A008292(n,m)*x^(m-1),{m,0,n}]; q(x,n)=k from Solve[FullSimplify[ExpandAll[p[x, n]/(x - 1)^n]] - (1 + k/x^2) == 0, k].
A146540
The PolyLog functional part of A008292 (the Eulerian numbers) is treated as a curvature to give a set of polynomial triangle sequence coefficients: p(x,n)=Sum[A008292(n,m)*x^(m-1),{m,0,n}]; q(x,n)=k from Solve[FullSimplify[ExpandAll[p[x, n]/(x - 1)^n]] - (1 + k/x^2) == 0, k].
Terms
- a(0) =2a(1) =-1a(2) =0a(3) =3a(4) =-1a(5) =2a(6) =1a(7) =4a(8) =-1a(9) =0a(10) =15a(11) =5a(12) =5a(13) =-1a(14) =2a(15) =21a(16) =76a(17) =16a(18) =6a(19) =-1a(20) =0a(21) =63a(22) =287a(23) =322a(24) =42a(25) =7a(26) =-1a(27) =2a(28) =113a(29) =1212
External references
- oeis: A146540