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A252590 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 1 2 7 8 or 9 4

%I

%S 13170,139918,139918,1741670,2932278,1741670,22094800,78789896,

%T 78789896,22094800,278456362,2038097660,4406719658,2038097660,

%U 278456362,3517561890,52624335712,235079475068,235079475068,52624335712,3517561890

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 1 2 7 8 or 9

%C Table starts

%C .......13170........139918........1741670.......22094800......278456362

%C ......139918.......2932278.......78789896.....2038097660....52624335712

%C .....1741670......78789896.....4406719658...235079475068.12835989195484

%C ....22094800....2038097660...235079475068.26484705476040

%C ...278456362...52624335712.12835989195484

%C ..3517561890.1370922407174

%C .44483332378

%H R. H. Hardin, <a href="/A252590/b252590.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=1 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 18 2014

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Last modified May 6 09:45 EDT 2021. Contains 343580 sequences. (Running on oeis4.)