A triangular sequence of coefficients of polynomials: p(x,n)=(3*(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}] -(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x)/2.

A154337

A triangular sequence of coefficients of polynomials: p(x,n)=(3*(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}] -(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x)/2.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =1a(6) =1a(7) =29a(8) =29a(9) =1a(10) =1a(11) =101a(12) =312a(13) =101a(14) =1a(15) =1a(16) =327a(17) =2372a(18) =2372a(19) =327a(20) =1a(21) =1a(22) =1023a(23) =15219a(24) =34114a(25) =15219a(26) =1023a(27) =1a(28) =1a(29) =3145

External references