Operad: As2

abbreviation

As2

category

Zvec

type

non-symetrique

dimensions

1, 2, 5, 14, 42, 132, 429, 1430, 4862

OEIS: A000108

Formula: binomial(2*n,n)/(n+1)

Serie: (x/(1+x)**2).reverse()

Equation: P-x*(1+P)**2

properties

Koszul, binary, quadratic, cyclic

generateurs

• generator * of arity 2 of degree 0
• generator . of arity 2 of degree 1

relations

• equality: (x*y)*z = x*(y*z)
• equality: (x*y).z + (x.y)*z = x*(y.z) + x.(y*z)
• equality: (x.y).z = x.(y.z)

morphisms

→ As(2)

References