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Operad: Triduplicial

abbreviation
TriDup
category
set
type
non-symetrique
dimensions

1, 3, 11, 45, 197, 903, 4279

OEIS: A001003

Serie: -(-1+3*x+sqrt(1-6*x+x**2))/(4*x)

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

properties
binary, quadratic, Koszul
Koszul dual operad
TriDup!
generateurs
  • generator < of arity 2
  • generator o of arity 2
  • generator > of arity 2
relations
  • equality: (x<y)<z = x<(y<z)
  • equality: (xoy)oz = xo(yoz)
  • equality: (x>y)>z = x>(y>z)
  • equality: (x>y)<z = x>(y<z)
  • equality: (xoy)<z = x<(y<z)
  • equality: (x>y)oz = x>(yoz)
  • equality: (xoy)>z = xo(y>z)

References