logo of Operadia Operadia

Operad: 2-associative

abbreviation
2as
category
Zset
type
non-symetrique
dimensions

1, 2, 6, 22, 90, 394, 1806

OEIS: A006318

Serie: (1-x-sqrt(1-6*x+x**2))/2

Equation: (2*P-1+x)**2-(1-6*x+x**2)

properties
Koszul, binary, quadratic, cyclic
Koszul dual operad
2as!
generateurs
  • generator a of arity 2 of degree 0
  • generator b of arity 2 of degree 1
relations
  • equality: (xay)az = xa(yaz)
  • equality: (xby)bz = xb(ybz)
morphisms
→ As, → As, → As, → Dup

References