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Operad: As(2)

abbreviation
As(2)
category
Zset
type
non-symetrique
dimensions

1, 2, 4, 8, 16, 32

OEIS: A000079

Formula: 2**(n-1)

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

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

References