%I #6 Nov 01 2024 11:47:47

%S 1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,2,1,1,0,0,1,2,1,1,0,

%T 0,1,3,1,1,0,0,4,5,4,1,0,0,5,7,4,3,0,0,8,10,6,3,0,0,12,14,8,5,0,0,22,

%U 21,21,7,0,0,32,32,20,12,2,0,50,48,36,16,1,1

%N Number of n-celled polycubes with full symmetry and the rotation point of the symmetries in the center of a cell (that may or may not be part of the polycube).

%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.

%F a(n) = A376971(n) if n is not divisible by 8, otherwise a(n) = A376971(n)-A377335(n/8).

%F Conjecture: For n >= 62, a(n) > a(n-1) if and only if n is a multiple of 6.

%Y Cf. A351127, A376971, A377335.

%K nonn

%O 1,19

%A _Pontus von Brömssen_, Oct 25 2024