logo of Operadia Operadia

Operad: Duplicial

abbreviation
Dup
category
set
type
non-symetrique
dimensions

1, 2, 5, 14, 42, 132, 429, 1430, 4862

OEIS: A000108

Formula: binomial(2*n,n)/(n+1)

Serie: (x/(1+x)**2).reverse()

properties
Koszul, binary, quadratic
Koszul dual operad
Dup!
generateurs
  • generator < of arity 2
  • generator > of arity 2
relations
  • equality: (x<y)<z = x<(y<z)
  • equality: (x>y)<z = x>(y<z)
  • equality: (x>y)>z = x>(y>z)
morphisms
→ As(2), → Dias

References