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.

A333458 Irregular table read by rows: Take a diagonal-edged (or diamond-shaped) checkerboard with all diagonals drawn, as in A333434. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.

Original entry on oeis.org

4, 84, 20, 692, 312, 72, 4, 2708, 2020, 400, 88, 0, 4, 7876, 5764, 1580, 264, 20, 4, 18220, 14868, 4960, 904, 112, 24, 36764, 30624, 11224, 2496, 304, 52, 66004, 55192, 18624, 3952, 472, 48, 111764, 97840, 40008, 9912, 1740, 244, 36, 175156, 158280, 63632, 15744, 2560, 156, 8, 16
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, Mar 22 2020

Keywords

Comments

See A333434 for the definition and images of the checkerboard.

Examples

			Table begins:
4;
84, 20;
692, 312, 72, 4;
2708, 2020, 400, 88, 0, 4;
7876, 5764, 1580, 264, 20, 4;
18220, 14868, 4960, 904, 112, 24;
36764, 30624, 11224, 2496, 304, 52;
66004, 55192, 18624, 3952, 472, 48;
111764, 97840, 40008, 9912, 1740, 244, 36;
175156, 158280, 63632, 15744, 2560, 156, 8, 16;
...

Links

Crossrefs

Cf. A333434 (regions), A333459 (vertices), A333460 (edges), A331911, A331451, A333025, A333037.

Extensions

a(32) and beyond from Lars Blomberg, Jun 03 2020

A333459 Number of vertices in an diagonal-edged (or diamond-shaped) checkerboard with width and height 2*n-1 (see Comments in A333434 for definition).

Original entry on oeis.org

5, 69, 785, 4177, 12681, 33601, 71777, 125389, 238801, 379793, 548293, 878397, 1203101, 1673693, 2311477, 3063609, 3934365, 4931077, 6501545, 7873689, 9852941, 12071685, 14067849, 17728005, 20417893, 24047817, 29003717
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, Mar 22 2020

Keywords

Comments

See A333434 for the definition and images of the checkerboard.

Crossrefs

Cf. A333434 (regions), A333458 (n-gons), A333460 (edges), A333035, A333031, A330850.

Extensions

a(8)-a(27) from Lars Blomberg, Jun 03 2020

A333460 Number of edges in an diagonal-edged (or diamond-shaped) checkerboard with width and height 2*n-1 (see Comments in A333434 for definition).

Original entry on oeis.org

8, 172, 1864, 9396, 28188, 72688, 153240, 269680, 500344, 795344, 1158752, 1820428, 2506948, 3477052, 4772708, 6313892, 8116916, 10200156, 13320308, 16199876, 20189488, 24692976, 28950448, 36096712, 41795388, 49216724, 58997920
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, Mar 22 2020

Keywords

Comments

See A333434 for the definition and images of the checkerboard.

Crossrefs

Cf. A333434 (regions), A333458 (n-gons), A333459 (vertices), A333027, A333036, A333283.

Extensions

a(8)-a(27) from Lars Blomberg, Jun 03 2020
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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