A308875 - OEIS

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A308875

Irregular table read by rows: the n-th row lists the number of (n-1)-dimensional cells in the convex regular n-dimensional polytopes in ascending order, n >= 3.

4, 6, 8, 12, 20, 5, 8, 16, 24, 120, 600, 6, 10, 32, 7, 12, 64, 8, 14, 128, 9, 16, 256, 10, 18, 512, 11, 20, 1024, 12, 22, 2048, 13, 24, 4096, 14, 26, 8192, 15, 28, 16384, 16, 30, 32768, 17, 32, 65536, 18, 34, 131072, 19, 36, 262144, 20, 38, 524288, 21, 40, 1048576

(list; graph; refs; listen; history; text; internal format)

OFFSET

3,1

COMMENTS

Also, the n-th row lists the number of edges (i.e., 1-dimensional cells) in the convex regular n-dimensional polytopes in ascending order. - Jianing Song, Jun 29 2019

LINKS

Table of n, a(n) for n=3..61.

Wikipedia, List of regular polytopes and compounds

FORMULA

For n >= 5, the n-th row is n+1, 2n, 2^n. - Jianing Song, Jun 29 2019

EXAMPLE

From Jianing Song, Jun 29 2019: (Start)

Row 3: 4, 6, 8, 12, 20;

Row 4: 5, 8, 16, 24, 120, 600;

Row 5: 6, 10, 32;

Row 6: 7, 12, 64;

...