%I A059174
%S A059174 1,2,4,8,16,32,64,126,240,438,764,1276,2048,3172,4760,6946,9888,13770,
%T A059174 18804,25232,33328,43400,55792,70886,89104,110910,136812,167364,
%U A059174 203168,244876,293192,348874,412736,485650,568548,662424,768336
%N A059174 Maximal number of regions into which 5-space can be divided by n hyper-spheres.
%D A059174 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 73, Problem 4.
%F A059174 n hyperspheres divide R^k into at most C(n-1, k) + Sum_{i=0..k} C(n, 
               i) regions.
%Y A059174 Cf. A014206 (dim 2), A046127 (dim 3), A059173 (dim 4), A059174 (dim 5).
%Y A059174 Sequence in context: A115424 A008881 A069050 this_sequence A054044 A008859 
               A145113
%Y A059174 Adjacent sequences: A059171 A059172 A059173 this_sequence A059175 A059176 
               A059177
%K A059174 nonn
%O A059174 0,2
%A A059174 N. J. A. Sloane (njas(AT)research.att.com), Feb 15 2001