a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments.
A364401
a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments.
Terms
- a(0) =1a(1) =15a(2) =65a(3) =174a(4) =365a(5) =661a(6) =1085a(7) =1660a(8) =2409a(9) =3355a(10) =4521a(11) =5930a(12) =7605a(13) =9569a(14) =11845a(15) =14456a(16) =17425a(17) =20775a(18) =24529a(19) =28710a(20) =33341a(21) =38445a(22) =44045a(23) =50164a(24) =56825a(25) =64051a(26) =71865a(27) =80290a(28) =89349a(29) =99065
External references
- oeis: A364401