Operad: Bigraft

abbreviation

Bigraft

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 * of arity 2
• 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)
• equality: (x*y)<z = x*(y<z)
• equality: (x>y)<z = x>(y<z)
• equality: (x*y)*z = x*(y*z)

References

• A. Mansuy, 2014 ↗ ↗