Symmetrical triangle sequence from polynomials: q(x,n)=-((-1)^n*(Sum[(k + 1)^n*x^k/k^2, {k, 1, Infinity}] - PolyLog[2, x])*(x - 1)^(n - 1) + (-1)^n*n *(-1 + x)^(n - 1) Log[1 - x])/x; p(x,n)=q(x,n)+x^n*q(1/x,n).
A154991
Symmetrical triangle sequence from polynomials: q(x,n)=-((-1)^n*(Sum[(k + 1)^n*x^k/k^2, {k, 1, Infinity}] - PolyLog[2, x])*(x - 1)^(n - 1) + (-1)^n*n *(-1 + x)^(n - 1) Log[1 - x])/x; p(x,n)=q(x,n)+x^n*q(1/x,n).
Terms
- a(0) =2a(1) =1a(2) =1a(3) =17a(4) =-30a(5) =17a(6) =16a(7) =-10a(8) =-10a(9) =16a(10) =72a(11) =-176a(12) =256a(13) =-176a(14) =72a(15) =99a(16) =-57a(17) =78a(18) =78a(19) =-57a(20) =99a(21) =275a(22) =-282a(23) =1557a(24) =-1660a(25) =1557a(26) =-282a(27) =275a(28) =466a(29) =1180
External references
- oeis: A154991