152909577

Appears in sequences

• G.f. A(x) satisfies: 2^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (2+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.at n=31A100223
• a(-1) = 1 and g.f. A(x) satisfies A(x) - 1/A(x) = 1/x - 1.at n=31A214649
• Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386).at n=29A343773