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A185640 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum 4

%I #5 Mar 31 2012 12:36:02

%S 0,404,404,854,5068,854,10296,56558,56558,10296,37844,678268,1009472,

%T 678268,37844,290174,8069858,25812774,25812774,8069858,290174,1362488,

%U 96721922,574149820,1223338660,574149820,96721922,1362488,8774626

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

%C Table starts

%C .......0......404.......854......10296.....37844......290174....1362488.8774626

%C .....404.....5068.....56558.....678268...8069858....96721922.1158080514

%C .....854....56558...1009472...25812774.574149820.13489115938

%C ...10296...678268..25812774.1223338660

%C ...37844..8069858.574149820

%C ..290174.96721922

%C .1362488

%H R. H. Hardin, <a href="/A185640/b185640.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for 4X3

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 01 2011

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Last modified April 18 14:42 EDT 2024. Contains 371780 sequences. (Running on oeis4.)