Operad: pre-Associative

abbreviation

PreAs

category

set

type

non-symetrique

dimensions

1, 2, 6, 21, 80, 322, 1347, 5798, 25512, 114236

OEIS: A106228

Equation: x*P**3 + 2*x*P**2 + 2*x*P + x - P

properties

binary, quadratic, non-Koszul

generateurs

• generator m of arity 2
• generator * of arity 2

relations

• equality: (xmy)*z = xm(y*z)
• equality: (xmy)mz+(x*y)mz+(xmy)*z+(x*y)*z = xm(ymz)+x*(ymz)+xm(y*z)+x*(y*z)

morphisms

→ Dend

References