Number of all polyhedra (tetrahedra of any orientation and octahedra) of any size, formed when intersecting a regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.

A216175

Number of all polyhedra (tetrahedra of any orientation and octahedra) of any size, formed when intersecting a regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.

Terms

    a(0) =1a(1) =6a(2) =20a(3) =50a(4) =104a(5) =193a(6) =329a(7) =526a(8) =800a(9) =1169a(10) =1652a(11) =2271a(12) =3049a(13) =4011a(14) =5184a(15) =6597a(16) =8280a(17) =10266a(18) =12589a(19) =15285a(20) =18392a(21) =21950a(22) =26000a(23) =30586a(24) =35753a(25) =41548a(26) =48020a(27) =55220a(28) =63200a(29) =72015

External references