-1685

Appears in sequences

• 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=21A007441
• Expansion of 1/(1-x+2*x^2+2*x^3).at n=14A077956
• Expansion of 1/(1+x+2*x^2-2*x^3).at n=14A077977
• Row sums of triangle A091698.at n=8A091699
• 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).at n=29A154338
• 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).at n=34A154338
• Coefficients in the q-expansion of the Gamma_0(6) weight -2 meromorphic modular form F(z) (see Formula section for definition).at n=6A181102
• E.g.f. satisfies A(x) = exp( x * exp(x^3) / A(x) ).at n=6A362674