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.

A286868 Array read by antidiagonals: T(m,n) = number of irredundant sets in the grid graph P_m X P_n.

Original entry on oeis.org

2, 3, 3, 5, 11, 5, 9, 26, 26, 9, 15, 79, 113, 79, 15, 26, 224, 548, 548, 224, 26, 44, 640, 2513, 4481, 2513, 640, 44, 76, 1828, 11826, 34049, 34049, 11826, 1828, 76, 130, 5225, 55136, 265227, 425926, 265227, 55136, 5225, 130
Offset: 1

Views

Author

Andrew Howroyd, Aug 02 2017

Keywords

Examples

			Array begins:
=============================================================
m\n|  1    2     3       4        5          6           7
---|---------------------------------------------------------
1  |  2    3     5       9       15         26          44...
2  |  3   11    26      79      224        640        1828...
3  |  5   26   113     548     2513      11826       55136...
4  |  9   79   548    4481    34049     265227     2052725...
5  | 15  224  2513   34049   425926    5467052    69724154...
6  | 26  640 11826  265227  5467052  116003176  2441933224...
7  | 44 1828 55136 2052725 69724154 2441933224 84850904785...
...
		

Crossrefs

Row 1 is A286887.
Main diagonal is A286869.
Cf. A286847 (minimal dominating sets).
Cf. A286870 (king graph).

A290382 Number of minimal dominating sets in the n X n grid graph.

Original entry on oeis.org

1, 6, 16, 306, 6958, 349178, 40307167, 8863408138, 4227470143437, 4108988275187691
Offset: 1

Views

Author

Eric W. Weisstein, Jul 28 2017

Keywords

Crossrefs

Main diagonal of A286847.
Cf. A133515 (dominating sets), A286869 (irredundant sets).

Extensions

a(5)-a(9) from Andrew Howroyd, Jul 31 2017
a(10) from Christian Sievers, Dec 03 2023

A290790 Number of maximal irredundant sets in the n X n grid graph.

Original entry on oeis.org

1, 6, 32, 590, 21555, 1598353, 288676112, 111452109386
Offset: 1

Views

Author

Eric W. Weisstein, Aug 17 2017

Keywords

Crossrefs

Main diagonal of A291439.

Extensions

a(5)-a(6) from Andrew Howroyd, Aug 23 2017
a(7)-a(8) from Christian Sievers, Nov 23 2023
Showing 1-3 of 3 results.