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 1-4 of 4 results.

A333075 The number of regions inside an octagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

Original entry on oeis.org

80, 1488, 9312, 31552, 83432, 174816, 339816, 584176, 953416, 1463936, 2173976, 3074784, 4294080, 5790816, 7664880, 9952944, 12757088, 16036096, 20013696, 24577760, 29973528, 36161472, 43314312, 51334672
Offset: 1

Views

Author

Keywords

Comments

The terms are from numeric computation - no formula for a(n) is currently known.

Crossrefs

Cf. A333076 (n-gons), A333109 (vertices), A333110 (edges), A007678, A092867, A331452, A331931.

Extensions

a(7)-a(24) from Lars Blomberg, May 14 2020

A333109 The number of vertices on an octagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

Original entry on oeis.org

57, 1145, 8417, 29121, 80345, 167105, 333297, 570969, 939113, 1441153, 2153937, 3029913, 4262929, 5741473, 7606745, 9876585, 12690553, 15921777, 19922289, 24430633, 29834073, 35990065, 43151521, 51068689
Offset: 1

Views

Author

Keywords

Comments

See the links in A333075 for images of the octagons.

Crossrefs

Cf. A333075 (regions), A333076 (n-gons), A333110 (edges), A330846, A092866, A332599, A007569.

Extensions

a(7)-a(24) from Lars Blomberg, May 14 2020

A333110 The number of edges on an octagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

Original entry on oeis.org

136, 2632, 17728, 60672, 163776, 341920, 673112, 1155144, 1892528, 2905088, 4327912, 6104696, 8557008, 11532288, 15271624, 19829528, 25447640, 31957872, 39935984, 49008392, 59807600, 72151536, 86465832, 102403360
Offset: 1

Views

Author

Keywords

Comments

See the links in A333075 for images of the octagons.

Crossrefs

Cf. A333075 (regions), A333076 (n-gons), A333109 (vertices), A330845, A274586 , A332600, A331765.

Extensions

a(7)-a(24) from Lars Blomberg, May 14 2020

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 1-4 of 4 results.