A325302 a(n) is the number of vertices of the stepped pyramid with n levels described in A245092.

8, 14, 23, 33, 41, 55, 63, 77, 91, 108, 116, 134, 142, 158, 180, 202, 210, 232, 240

Offset

1,1

Comments

To calculate a(n) consider that levels greater than n do not exist.

Links

Table of n, a(n) for n=1..19.

Omar E. Pol, Perspective view of the pyramid (first 16 levels)

Formula

a(n) = A325301(n) - A325300(n) + 2 (Euler's formula).

Example

For n = 1 the first level of the stepped pyramid (starting from the top) is a cube, and a cube has 8 vertices, so a(1) = 8.

Crossrefs

Cf. A325300 (number of faces), A325301 (number of edges).

Cf. A196020, A235791, A236104, A237270, A237271, A237591, A237593, A245092, A262626, A294723, A323648.

Sequence in context: A001049 A134445 A100508 * A053668 A218145 A250098

Adjacent sequences: A325299 A325300 A325301 * A325303 A325304 A325305

Keyword

nonn,more

Author

Omar E. Pol, Apr 16 2019

Status

approved