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 A184614 T(n,k)=Half the number of (n+1)X(k+1) binary arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one 10

%I

%S 8,28,28,98,160,98,350,918,918,350,1250,5430,8643,5430,1250,4450,

%T 32042,84828,84828,32042,4450,15842,188394,828804,1396000,828804,

%U 188394,15842,56426,1107926,8066003,22837236,22837236,8066003,1107926,56426,200978

%N T(n,k)=Half the number of (n+1)X(k+1) binary arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

%C Table starts

%C ......8........28..........98............350.............1250

%C .....28.......160.........918...........5430............32042

%C .....98.......918........8643..........84828...........828804

%C ....350......5430.......84828........1396000.........22837236

%C ...1250.....32042......828804.......22837236........624608260

%C ...4450....188394.....8066003......371916790......16993352260

%C ..15842...1107926....78509868.....6057271712.....462355902596

%C ..56426...6519094...764691186....98736408638...12592730376316

%C .200978..38356642..7447473213..1609249499406..342921355920877

%C .715786.225665454.72527899252.26226651558476.9337694288241678

%H R. H. Hardin, <a href="/A184614/b184614.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for 3X3

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

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

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

%e ...

%e ...3..2.......1..2.......2..2.......1..1.......3..2.......1..1.......3..4...

%e ...3..3.......1..2.......3..2.......0..1.......2..2.......1..2.......3..4...

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 18 2011

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Last modified June 25 22:13 EDT 2022. Contains 354868 sequences. (Running on oeis4.)