Operad: 3-associative

abbreviation

3as

category

set

type

non-symetrique

dimensions

1, 3, 15, 93, 645, 4791, 37275, 299865

OEIS: A103210

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

properties

Koszul, binary, quadratic

generateurs

• generator a of arity 2
• generator b of arity 2
• generator c of arity 2

relations

• equality: (xay)az = xa(yaz)
• equality: (xby)bz = xb(ybz)
• equality: (xcy)cz = xc(ycz)

morphisms

→ As

References

• S. Giraudo, 2015 ↗