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A285030 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.

%I A285030 #6 Apr 05 2020 20:18:41
%S A285030 0,0,0,1,2,1,2,6,6,2,6,26,97,26,6,12,104,442,442,104,12,28,402,4892,
%T A285030 6460,4892,402,28,56,1578,26226,96458,96458,26226,1578,56,119,6196,
%U A285030 256732,1449814,3708321,1449814,256732,6196,119,236,24310,1544872,22043878
%N A285030 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
%C A285030 Table starts
%C A285030 ..0....0.......1.........2...........6.............12...............28
%C A285030 ..0....2.......6........26.........104............402.............1578
%C A285030 ..1....6......97.......442........4892..........26226...........256732
%C A285030 ..2...26.....442......6460.......96458........1449814.........22043878
%C A285030 ..6..104....4892.....96458.....3708321.......85715676.......3064900470
%C A285030 .12..402...26226...1449814....85715676.....5075612300.....305391845288
%C A285030 .28.1578..256732..22043878..3064900470...305391845288...40651048407879
%C A285030 .56.6196.1544872.336883696.78636441270.18488589657334.4417815478017558
%H A285030 R. H. Hardin, <a href="/A285030/b285030.txt">Table of n, a(n) for n = 1..180</a>
%e A285030 Some solutions for n=4, k=4
%e A285030 ..1..0..0..1. .0..1..0..0. .1..0..1..0. .0..0..0..0. .1..1..1..1
%e A285030 ..1..0..0..0. .0..1..1..1. .0..1..0..0. .1..1..1..0. .0..1..0..1
%e A285030 ..0..1..1..0. .0..0..1..0. .1..0..0..0. .0..1..0..1. .0..0..0..0
%e A285030 ..1..1..0..0. .1..1..0..0. .1..1..1..0. .1..0..1..1. .0..0..1..0
%Y A285030 Column 1 is A284449.
%K A285030 nonn,tabl
%O A285030 1,5
%A A285030 _R. H. Hardin_, Apr 08 2017