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A251989 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5 5

%I #4 Dec 12 2014 08:48:17

%S 2735,20011,20011,151635,231559,151635,1182549,3069283,3069283,

%T 1182549,9375901,43957515,79998655,43957515,9375901,75153161,

%U 663814741,2351304453,2351304453,663814741,75153161,607579255,10354206421

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5

%C Table starts

%C .......2735.........20011...........151635...........1182549............9375901

%C ......20011........231559..........3069283..........43957515..........663814741

%C .....151635.......3069283.........79998655........2351304453........73509019463

%C ....1182549......43957515.......2351304453......143941074215......9220975438331

%C ....9375901.....663814741......73509019463.....9220975438331...1193233002253007

%C ...75153161...10354206421....2356741934027...598720936854481.155551233646772281

%C ..607579255..164646337261...76367982838785.39038339681025033

%C .4944443285.2648489572393.2486060084557113

%H R. H. Hardin, <a href="/A251989/b251989.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=1 k=4

%e ..0..0..0..2..0..0....0..0..0..0..0..2....0..0..0..2..0..2....0..0..0..2..0..2

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

%e ..0..0..0..0..2..2....2..2..0..0..0..0....2..0..0..0..0..2....2..2..2..0..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 12 2014

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)