Number of all possible tetrahedra of any size and orientation, formed when intersecting the original regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.

A216173

Number of all possible tetrahedra of any size and orientation, formed when intersecting the original regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.

Terms

    a(0) =1a(1) =5a(2) =16a(3) =39a(4) =80a(5) =147a(6) =249a(7) =396a(8) =600a(9) =874a(10) =1232a(11) =1690a(12) =2265a(13) =2975a(14) =3840a(15) =4881a(16) =6120a(17) =7581a(18) =9289a(19) =11270a(20) =13552a(21) =16164a(22) =19136a(23) =22500a(24) =26289a(25) =30537a(26) =35280a(27) =40555a(28) =46400a(29) =52855

External references