A346532 a(n) is the number of vertices of the polycube called "tower" described in A221529 where n is the longest side of its base.

8, 8, 18, 24, 33, 47, 55, 69, 77, 95, 108

Offset: 1

Author

Omar E. Pol, Jul 22 2021

Keywords

• nonn
• more

Comments

The height of the tower equals A000041(n-1).

Examples

			For n = 1 the tower is a cube, and a cube has 8 vertices, so a(1) = 8.
		

Crossrefs

Cf. A000203 (area of the terraces), A000041 (height of the terraces), A066186 (volume), A345023 (surface area), A346530 (number of faces), A346531 (number of edges).

Cf. A325302 (analog for the pyramid described in A245092).

Cf. A221529, A236104, A237270, A237271, A237593, A336811, A338156, A340035, A340584.

Formula

a(n) = A346531(n) - A346530(n) + 2 (Euler's formula).