A335353 Irregular table read by rows: Take a square and divide each of its sides into n equal parts giving a total of 4*n nodes, draw straight line segments from node k to node (k+n+1) mod 4*n, 0 <= k < 4*n. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.

4, 16, 8, 0, 0, 0, 1, 32, 5, 32, 40, 8, 0, 0, 1, 64, 28, 16, 0, 0, 0, 0, 0, 0, 1, 80, 56, 24, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 96, 84, 24, 0, 0, 0, 0, 0, 0, 1, 128, 100, 40, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 144, 156, 32, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

1,1

Comments

See A335350 for illustrations.

Links

Lars Blomberg, Table of n, a(n) for n = 1..10000

Example

Table begins:
4;
16, 8, 0, 0, 0, 1;
32, 5;
32, 40, 8, 0, 0, 1;
64, 28, 16, 0, 0, 0, 0, 0, 0, 1;
80, 56, 24, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
96, 84, 24, 0, 0, 0, 0, 0, 0, 1;
128, 100, 40, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
144, 156, 32, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
168, 188, 64, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1;
200, 228, 40, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
248, 252, 88, 24, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;

Crossrefs

Cf. A335350 (regions), A335351 (edges), A335352 (vertices), A335354 (edges in central polygon), A255011, A335057, A335192.

Sequence in context: A329068 A328755 A187532 * A110651 A253890 A115054

Adjacent sequences: A335350 A335351 A335352 * A335354 A335355 A335356

Keyword

nonn,tabf

Author

Lars Blomberg, Jun 04 2020

Status

approved