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(1/6) * most frequently occurring volume assumed by triangular pyramids with their 4 vertices chosen from distinct points of an (n+1)X(n+1)X(n+1) lattice cube.
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%I #5 Oct 27 2012 14:08:31

%S 1,2,2,4,4,12,12,12,12,12,24,24,24,24

%N (1/6) * most frequently occurring volume assumed by triangular pyramids with their 4 vertices chosen from distinct points of an (n+1)X(n+1)X(n+1) lattice cube.

%e a(1)=1 because 2*A103660(1)=56 of the 2*A103656(1)=58 triangular pyramids that can be formed from the vertices of a cube have volume=1/6. The other two pyramids have volume=1/3.

%Y Cf. A103660 = number of occurrences of the most frequent volume. For more cross-references see A103657.

%K more,nonn

%O 1,2

%A _Hugo Pfoertner_, Feb 19 2005