Coefficients of a set of infinite sum rational polynomials: p(x,n)=(-1 + x)^(m - 1)*( 1 - (1 + x)/(-1 + x))^(m + 1)*Sum[(k + 1)^(2*m - 1)*((x + 1)/( x - 1))^k, {k, 0, Infinity}].
A171657
Coefficients of a set of infinite sum rational polynomials: p(x,n)=(-1 + x)^(m - 1)*( 1 - (1 + x)/(-1 + x))^(m + 1)*Sum[(k + 1)^(2*m - 1)*((x + 1)/( x - 1))^k, {k, 0, Infinity}].
Terms
- a(0) =1a(1) =1a(2) =0a(3) =-3a(4) =4a(5) =0a(6) =-30a(7) =0a(8) =30a(9) =34a(10) =0a(11) =-462a(12) =0a(13) =1050a(14) =0a(15) =-630a(16) =496a(17) =0a(18) =-10560a(19) =0a(20) =40320a(21) =0a(22) =-52920a(23) =0a(24) =22680a(25) =11056a(26) =0a(27) =-338448a(28) =0a(29) =1907400
External references
- oeis: A171657