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.

A329713 The number of regions inside a heptagon 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

50, 868, 5594, 18396, 48462, 101794, 195714, 336504, 549704, 841890, 1249676, 1774612, 2468572, 3328234, 4414054, 5725034, 7336855, 9233098, 11513419, 14149296, 17254434, 20805554, 24928380, 29573348, 34902155, 40861422, 47613161
Offset: 1

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Author

Keywords

Comments

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

Crossrefs

Cf. A329714 (n-gons), A333112 (edges), A333113 (vertices), A007678, A092867, A331452, A331931.

Extensions

a(8)-a(27) from Lars Blomberg, May 13 2020

A333112 The number of edges inside a heptagon 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

91, 1575, 10962, 35812, 96257, 201054, 389991, 668458, 1096508, 1675835, 2494989, 3536876, 4930408, 6639913, 8816458, 11425631, 14659085, 18433975, 23007579, 28257418, 34478871, 41557817, 49822388, 59079475, 69756253, 81641812, 95165210
Offset: 1

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Author

Keywords

Comments

See the links in A329713 for images of the heptagons.

Crossrefs

Cf. A329713 (regions), A329714 (n-gons), A333113 (vertices), A330845, A274586 , A332600, A331765.

Extensions

a(8)-a(27) from Lars Blomberg, May 13 2020

A333113 The number of vertices inside a heptagon 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

42, 708, 5369, 17417, 47796, 99261, 194278, 331955, 546805, 833946, 1245314, 1762265, 2461837, 3311680, 4402405, 5700598, 7322231, 9200878, 11494161, 14108123, 17224438, 20752264, 24894009, 29506128, 34854099, 40780391, 47552050
Offset: 1

Views

Author

Keywords

Comments

See the links in A329713 for images of the heptagons.

Crossrefs

Cf. A329713 (regions), A329714 (n-gons), A333112 (edges), A330846, A092866, A332599, A007569.

Extensions

a(8)-a(27) from Lars Blomberg, May 13 2020

A335760 Irregular table read by rows: n-sect the angles of a heptagon. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.

Original entry on oeis.org

0, 0, 0, 0, 1, 14, 21, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 84, 28, 35, 7, 7, 0, 1, 182, 56, 14, 189, 196, 70, 21, 0, 7, 0, 0, 0, 0, 0, 1, 280, 210, 42, 378, 252, 140, 63, 7, 7, 0, 0, 0, 0, 0, 1, 238, 196, 14, 448, 588, 126, 63, 21, 14, 0, 0, 0, 0, 0, 1
Offset: 1

Views

Author

Lars Blomberg, Jun 22 2020

Keywords

Comments

For n<=200 no polygon has more than 14 edges.
See A335757 for illustrations.

Examples

			The table begins
0, 0, 0, 0, 1;
14;
21, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
84, 28;
35, 7, 7, 0, 1;
182, 56, 14;
189, 196, 70, 21, 0, 7, 0, 0, 0, 0, 0, 1;
280, 210, 42;
378, 252, 140, 63, 7, 7, 0, 0, 0, 0, 0, 1;
238, 196, 14;
448, 588, 126, 63, 21, 14, 0, 0, 0, 0, 0, 1;
		

Crossrefs

Cf. A329714 (n-sected sides, not angles), A335757 (regions), A335758 (vertices), A335759 (edges).
Showing 1-4 of 4 results.