login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 13

%I

%S 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,

%T 3334,520,0,10,2220,29952,114318,115870,30837,2088,0,24,8376,205195,

%U 1676740,3125547,1710994,202363,8192,0,60,31959,1668655,24773296

%N 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.

%C Table starts

%C .0.....0........0..........0.............0................1..................3

%C .0.....0........9.........42...........150..............596...............2220

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

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

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

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

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

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

%C .0.32083.12139768.5821195059.2579471093496.1200437139032383.560706154294046909

%H R. H. Hardin, <a href="/A293100/b293100.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=4, k=4

%e ..0..0..0..0. .0..0..0..1. .0..1..1..0. .1..1..0..1. .1..1..0..0

%e ..1..0..0..0. .1..1..0..0. .1..0..0..1. .0..1..0..1. .0..1..1..0

%e ..1..1..0..1. .1..0..1..0. .1..0..1..0. .0..0..1..0. .1..1..0..0

%e ..0..0..1..0. .0..1..0..1. .0..1..0..0. .0..0..0..1. .1..0..0..0

%Y Column 2 is A286973.

%Y Row 1 is A286209.

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_, Sep 30 2017

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 26 17:16 EDT 2022. Contains 354092 sequences. (Running on oeis4.)