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Space Division

The number of regions into which space can be divided by $n$ Spheres is

N={\textstyle{1\over 3}} n(n^2-3n+8),

giving 2, 4, 8, 16, 30, 52, 84, ... (Sloane's A046127).

See also Plane Division


Sloane, N. J. A. Sequence A046127 in ``The On-Line Version of the Encyclopedia of Integer Sequences.''

© 1996-9 Eric W. Weisstein