Operad: Dendriforme

abbreviation

Dend

category

vec

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, anticyclic

Koszul dual operad

Dias

generateurs

• generator < of arity 2
• generator > of arity 2

relations

• relation: (x>y)<z - x>(y<z)
• relation: (x<y)<z - x<(y<z) + x<(y>z)
• relation: x>(y>z) - (x>y)>z - (x<y)>z

morphisms

→ Zin

References

• J.-L. Loday, 2001 ↗