cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A335769 a(n) is the number of regions formed by n-secting the angles of an octagon.

Original entry on oeis.org

1, 8, 25, 104, 321, 80, 617, 624, 745, 1056, 1617, 896, 2233, 2224, 2465, 3024, 3929, 2472, 4809, 4848, 5193, 5944, 7217, 5528, 8305, 8456, 8929, 9856, 11513, 9336, 12849, 13080, 13617, 14816, 16809, 13744, 18417, 18632, 19329, 20728, 23073, 19936, 25001
Offset: 1

Views

Author

Lars Blomberg, Jun 23 2020

Keywords

Crossrefs

Cf. A333075 (n-sected sides, not angles), A335770 (vertices), A335771 (edges), A335772 (ngons).

A335771 a(n) is the number of edges formed by n-secting the angles of an octagon.

Original entry on oeis.org

8, 16, 48, 192, 648, 136, 1240, 1200, 1488, 2048, 3240, 1688, 4472, 4352, 4928, 5936, 7864, 4592, 9624, 9552, 10384, 11728, 14440, 10760, 16616, 16720, 17856, 19504, 23032, 18264, 25704, 25920, 27232, 29376, 33624, 26672, 36840, 36976, 38656, 41152, 46152
Offset: 1

Views

Author

Lars Blomberg, Jun 23 2020

Keywords

Comments

See A335769 for illustrations.

Crossrefs

Cf. A333110 (n-sected sides, not angles), A335769 (regions), A335770 (vertices), A335772 (ngons).

A335772 Irregular table read by rows: n-sect the angles of an octagon. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 8, 16, 8, 0, 0, 0, 1, 64, 32, 8, 112, 160, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 56, 24, 224, 272, 72, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 304, 176, 136, 8, 336, 224, 104, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 496, 320, 192, 40, 8
Offset: 1

Views

Author

Lars Blomberg, Jun 23 2020

Keywords

Comments

For n<=200 no polygon has more than 16 edges.
See A335769 for illustrations.

Examples

			The table begins
0, 0, 0, 0, 0, 1;
8;
16, 8, 0, 0, 0, 1;
64, 32, 8;
112, 160, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
56, 24;
224, 272, 72, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
304, 176, 136, 8;
336, 224, 104, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
496, 320, 192, 40, 8;
		

Crossrefs

Cf. A333076 (n-sected sides, not angles), A335769 (regions), A335770 (vertices), A335771 (edges).
Showing 1-3 of 3 results.