A286973 -id:A286973

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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.

+10
13

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

(list; table; graph; refs; listen; history; text; internal format)

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.

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 30 2017

STATUS

approved

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