Irregular triangle formed by coefficients of polynomials defined by P(n,k,x) = f(n,k)*(2*x)^k*(1 - x^2)^(n - k), where f(n, k) = (-1)^floor((k + 1)/2)* binomial(n - floor((k + 1)/2), floor(k/2)).

A123218

Irregular triangle formed by coefficients of polynomials defined by P(n,k,x) = f(n,k)*(2*x)^k*(1 - x^2)^(n - k), where f(n, k) = (-1)^floor((k + 1)/2)* binomial(n - floor((k + 1)/2), floor(k/2)).

Terms

    a(0) =1a(1) =1a(2) =-2a(3) =-1a(4) =1a(5) =-2a(6) =-6a(7) =2a(8) =1a(9) =1a(10) =-2a(11) =-11a(12) =12a(13) =11a(14) =-2a(15) =-1a(16) =1a(17) =-2a(18) =-16a(19) =22a(20) =46a(21) =-22a(22) =-16a(23) =2a(24) =1a(25) =1a(26) =-2a(27) =-21a(28) =32a(29) =106

External references