487521

Appears in sequences

• 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=10A278749
• E.g.f. C(x) = 1 + Integral S(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=5A278751
• a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(n+2,3*k+2) * Catalan(k).at n=20A360049