A346530 a(n) is the number of faces of the polycube called "tower" described in A221529 where n is the longest side of its base.

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

Offset

1,1

Comments

The tower is a geometric object associated to all partitions of n.

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

Links

Table of n, a(n) for n=1..11.

Formula

a(n) = A346531(n) - A346532(n) + 2 (Euler's formula).

Example

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

Crossrefs

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

Cf. A325300 (analog for the pyramid described in A245092).

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

Sequence in context: A122762 A046605 A095899 * A163757 A109538 A212534

Adjacent sequences: A346527 A346528 A346529 * A346531 A346532 A346533

Keyword

nonn,more

Author

Omar E. Pol, Jul 22 2021

Status

approved