%I #34 Jun 08 2022 10:17:24
%S 12,12,27,36,51,72,84,105,117,144,165
%N a(n) is the number of edges of the polycube called "tower" described in A221529 where n is the longest side of its base.
%C The tower is a geometric object associated to all partitions of n.
%C The height of the tower equals A000041(n-1).
%F a(n) = A346530(n) + A346532(n) - 2 (Euler's formula).
%e For n = 1 the tower is a cube, and a cube has 12 edges, so a(1) = 12.
%Y Cf. A000203 (area of the terraces), A000041 (height of the terraces), A066186 (volume), A345023 (surface area), A346530 (number of faces), A346532 (number of vertices).
%Y Cf. A325301 (analog for the pyramid described in A245092).
%Y Cf. A221529, A236104, A237270, A237271, A237593, A336811, A338156, A340035, A340584.
%K nonn,more
%O 1,1
%A _Omar E. Pol_, Jul 22 2021