A293100 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 0, 0, 0, 9, 5, 0, 0, 42, 48, 30, 0, 1, 150, 567, 554, 126, 0, 3, 596, 3619, 8088, 3334, 520, 0, 10, 2220, 29952, 114318, 115870, 30837, 2088, 0, 24, 8376, 205195, 1676740, 3125547, 1710994, 202363, 8192, 0, 60, 31959, 1668655, 24773296

Offset

1,8

Comments

Table starts

.0.....0........0..........0.............0................1..................3

.0.....0........9.........42...........150..............596...............2220

.0.....5.......48........567..........3619............29952.............205195

.0....30......554.......8088........114318..........1676740...........24773296

.0...126.....3334.....115870.......3125547.........95603353.........2728695681

.0...520....30837....1710994......96199260.......5589631828.......328979478088

.0..2088...202363...25504769....2804027631.....331401441383.....38469698642410

.0..8192..1733660..383909610...85892871786...19865025530414...4665971856266714

.0.32083.12139768.5821195059.2579471093496.1200437139032383.560706154294046909

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Example

Some solutions for n=4, k=4
..0..0..0..0. .0..0..0..1. .0..1..1..0. .1..1..0..1. .1..1..0..0
..1..0..0..0. .1..1..0..0. .1..0..0..1. .0..1..0..1. .0..1..1..0
..1..1..0..1. .1..0..1..0. .1..0..1..0. .0..0..1..0. .1..1..0..0
..0..0..1..0. .0..1..0..1. .0..1..0..0. .0..0..0..1. .1..0..0..0

Crossrefs

Column 2 is A286973.

Row 1 is A286209.

Sequence in context: A214102 A321575 A336610 * A195360 A177973 A145436

Adjacent sequences: A293097 A293098 A293099 * A293101 A293102 A293103

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 30 2017

Status

approved