

A308875


Irregular table read by rows: the nth row lists the number of (n1)dimensional cells in the convex regular ndimensional polytopes in ascending order, n >= 3.


0



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


LINKS



FORMULA

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


EXAMPLE

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;
...
(End)


PROG

(PARI) row(n) = if(n>=5, [n+1, 2*n, 2^n], if(n==3, [4, 6, 8, 12, 20], if(n==4, [5, 8, 16, 24, 120, 600])))
list(n) = my(v=[]); for(i=3, n, v=concat(v, row(i))); v \\ Jianing Song, Jun 29 2019


CROSSREFS



KEYWORD

nonn,easy,tabf


AUTHOR



EXTENSIONS



STATUS

approved



