58221

Appears in sequences

• Expansion of Product_{k>=1} 1/(1-x^k)^(k*(k-1)*(k-2)/6).at n=18A258352
• E.g.f. C(x) + S(x), such that C(x)^2 - S(x)^2 = 1, 3*C(x)^2 - 2*D(x)^3 = 1, and D(x) = 1 + Integral S(x)*C(x) dx.at n=9A278749
• E.g.f. S(x) = Integral C(x)*D(x)^2 dx, where C(x)^2 - S(x)^2 = 1 and 3*C(x)^2 - 2*D(x)^3 = 1.at n=4A278750
• G.f.: A(x,y) = Sum_{n>=0} x^n * ((1+x)^n + y)^n, where A(0) = 0, as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y) = Sum_{n>=0} x^n * Sum_{k=0..n} T(n,k)*x^n*y^k, read by rows.at n=47A325580
• G.f.: Sum_{n>=0} (n+1)*(n+2)/2 * x^n * (1+x)^(n*(n+2)).at n=7A325586
• Numbers that are the sum of four third powers in exactly eight ways.at n=35A345153
• Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x) / (1 + x*exp(x)) ).at n=5A379456