A346530 - OEIS

%I #34 Jun 08 2022 10:17:16

%S 6,6,11,14,20,27,31,38,42,51,59

%N a(n) is the number of faces 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) = A346531(n) - A346532(n) + 2 (Euler's formula).

%e For n = 1 the tower is a cube, and a cube has 6 faces, so a(1) = 6.

%Y Cf. A000203 (area of the terraces), A000041 (height of the terraces), A066186 (volume), A345023 (surface area), A346531 (number of edges), A346532 (number of vertices).

%Y Cf. A325300 (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