\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Some technicalities on operads}{}% 2
\BOOKMARK [1][-]{section.3}{Symmetry on a unit action and polygonal numbers}{}% 3
\BOOKMARK [2][-]{subsection.3.1}{The kP operads}{section.3}% 4
\BOOKMARK [2][-]{subsection.3.2}{Hopf algebra structures on kP}{section.3}% 5
\BOOKMARK [2][-]{subsection.3.3}{Reconstructing polygonal numbers from 1: The operad k-gonal}{section.3}% 6
\BOOKMARK [1][-]{section.4}{On planar m-ary trees and tetrahedral numbers}{}% 7
\BOOKMARK [2][-]{subsection.4.1}{The operad m-Dend}{section.4}% 8
\BOOKMARK [2][-]{subsection.4.2}{The operad m-Tetra}{section.4}% 9
\BOOKMARK [2][-]{subsection.4.3}{Relations with homogeneous polynomials}{section.4}% 10
\BOOKMARK [2][-]{subsection.4.4}{\(Co\)Homology of m-tetrahedral algebras}{section.4}% 11
\BOOKMARK [2][-]{subsection.4.5}{The Pascal triangle}{section.4}% 12
\BOOKMARK [1][-]{section.5}{An operad over rooted planar ternary trees and triangular numbers }{}% 13
\BOOKMARK [2][-]{subsection.5.1}{A focus on 3-Dend}{section.5}% 14
\BOOKMARK [2][-]{subsection.5.2}{\(Co\)Homology of 3-dendriform algebras}{section.5}% 15
\BOOKMARK [2][-]{subsection.5.3}{The operad Triang}{section.5}% 16
\BOOKMARK [2][-]{subsection.5.4}{The free triangular algebra: Explicit proofs}{section.5}% 17
\BOOKMARK [2][-]{subsection.5.5}{On the construction of the homology of 3-dendriform algebras}{section.5}% 18
\BOOKMARK [1][-]{section.6}{Conclusions and open questions}{}% 19