40456

Appears in sequences

• Expansion of (1+x)/((1-x)^2-5x^3).at n=13A097118
• Number of nodes at n-th level in tree in which top node is 1; each node k has children labeled 1, 2, ..., k*(k+1) at next level.at n=4A147794
• Records in A087669.at n=40A192230
• q = x * exp( 8 * (Sum_{k>0} a(k) * x^k / k)) where x = m/16, q is the elliptic nome and m = k^2 is the parameter.at n=4A227503
• Numerators of coefficients in the expansion of (log(q) - log(k^2/16))/(8*k^2/16) in powers of k^2/16, where q is the Jacobi nome and k^2 the parameter of elliptic functions.at n=4A274345
• E.g.f. satisfies A(x) = exp(x * (1-x)^3 * A(x)) / (1-x)^4.at n=5A378091