A triangular sequence of coefficients of polynomials: p(x,n)=(-(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}]+2*(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x).

A154338

A triangular sequence of coefficients of polynomials: p(x,n)=(-(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}]+2*(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =-1a(8) =-1a(9) =1a(10) =1a(11) =-24a(12) =-98a(13) =-24a(14) =1a(15) =1a(16) =-123a(17) =-1078a(18) =-1078a(19) =-123a(20) =1a(21) =1a(22) =-482a(23) =-8161a(24) =-18716a(25) =-8161a(26) =-482a(27) =1a(28) =1a(29) =-1685

External references