A337330 Irregular table read by rows: row n gives the number of 6-gon to k-gon contacts, with k>=6, for a regular n-gon with all diagonals drawn, with n>=25.

50, 0, 108, 0, 0, 0, 124, 32, 66, 136, 70, 144, 148, 76, 390, 120, 328, 82, 42, 86, 86, 0, 540, 92, 92, 188, 94, 94, 0, 196, 98, 750, 100, 816, 416, 104, 1272, 432, 220, 110, 728, 570, 570, 406, 348, 116, 1062, 354, 300, 854, 366, 122, 1488, 124, 1512, 252, 126, 576, 2080, 130, 260, 2112

Offset

25,1

Comments

For n=3 to n=24 there are no n-gons that have 6-gon to k-gon contacts, where k>=6, so the table starts at n=25.

See A333654 for the number of 3-gon to k-gon contacts, with k>=3.

See A335614 for the number of 4-gon to k-gon contacts, with k>=4.

See A335646 for the number of 5-gon to k-gon contacts, with k>=5.

See A007678 for the number of regions and images of other n-gons.

Links

Table of n, a(n) for n=25..86.

Scott R. Shannon, Image for n=25 with edge-number coloring. This is the first n-gon with 6-gon to 6-gon contacts.

Scott R. Shannon, Image for n=25 with random distance-based coloring.

Example

The table begins:
.
50;
0;
108;
0;
0;
0;
124;
32;
66;
136;
70;
144;
148;
76;
390;
120;
328, 82;
42;

Crossrefs

Cf. A333654 (3-gon contacts), A335614 (4-gon contacts), A335646 (5-gon contacts), A007678, A135565, A007569, A062361, A331450, A331451.

Sequence in context: A324676 A015066 A022078 * A174914 A036172 A242075

Adjacent sequences: A337327 A337328 A337329 * A337331 A337332 A337333

Keyword

nonn,tabf

Author

Scott R. Shannon, Aug 23 2020

Extensions

a(34) and beyond from Scott R. Shannon, Jan 11 2021

Status

approved