A symmetrical triangle of polynomial coefficients:p(x,n)=Sum[(1 + Binomial[n, m]*x)^m*(1 - Binomial[n, m]*x)^(n - m) + (x + Binomial[n, m])^m*(x - Binomial[n, m])^(n - m), {m, 0, n}].
A176389
A symmetrical triangle of polynomial coefficients:p(x,n)=Sum[(1 + Binomial[n, m]*x)^m*(1 - Binomial[n, m]*x)^(n - m) + (x + Binomial[n, m])^m*(x - Binomial[n, m])^(n - m), {m, 0, n}].
Terms
- a(0) =2a(1) =2a(2) =2a(3) =1a(4) =0a(5) =1a(6) =4a(7) =-12a(8) =-12a(9) =4a(10) =791a(11) =0a(12) =-120a(13) =0a(14) =791a(15) =6a(16) =16260a(17) =-280a(18) =-280a(19) =16260a(20) =6a(21) =-41312053a(22) =0a(23) =364560a(24) =0a(25) =364560a(26) =0a(27) =-41312053a(28) =8a(29) =-3163111000
External references
- oeis: A176389