a(n) is a number of lattice points in 3D Cartesian grid between cube with edge length 2*n centered in origin and its inscribed sphere. Three pairs of the cube's faces are parallel to the planes XOY, XOZ, YOZ respectively.
A303743
a(n) is a number of lattice points in 3D Cartesian grid between cube with edge length 2*n centered in origin and its inscribed sphere. Three pairs of the cube's faces are parallel to the planes XOY, XOZ, YOZ respectively.
Terms
- a(0) =0a(1) =0a(2) =8a(3) =92a(4) =220a(5) =412a(6) =784a(7) =1272a(8) =1848a(9) =2696a(10) =3692a(11) =5020a(12) =6460a(13) =8176a(14) =10248a(15) =12720a(16) =15464a(17) =18476a(18) =21988a(19) =25924a(20) =30016a(21) =35040a(22) =40248a(23) =46052a(24) =52388a(25) =59132a(26) =66364a(27) =74416a(28) =83256a(29) =92304
External references
- oeis: A303743