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Operad: Triplicial

abbreviation
Trip
category
set
type
non-symetrique
dimensions

1, 3, 12, 55, 273, 1428

OEIS: A001764

Formula: binomial(3*n,n)/(2*n+1)

properties
binary, quadratic, Koszul
generateurs
  • generator a of arity 2
  • generator b of arity 2
  • generator c of arity 2
relations
  • equality: (xay)az = xa(yaz)
  • equality: (xay)bz = xa(ybz)
  • equality: (xay)cz = xa(ycz)
  • equality: (xby)bz = xb(ybz)
  • equality: (xby)cz = xb(ycz)
  • equality: (xcy)cz = xc(ycz)
morphisms
→ TriDup

References