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A251909 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 4 or 5 4

%I

%S 9552,87472,87472,910694,1524496,910694,9385210,31829596,31829596,

%T 9385210,97416802,634891856,1346875728,634891856,97416802,1020849168,

%U 13021221976,55159959296,55159959296,13021221976,1020849168,10715275730

%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 4 or 5

%C Table starts

%C .........9552.........87472..........910694.........9385210........97416802

%C ........87472.......1524496........31829596.......634891856.....13021221976

%C .......910694......31829596......1346875728.....55159959296...2346358649878

%C ......9385210.....634891856.....55159959296...4659453629112.405801426711494

%C .....97416802...13021221976...2346358649878.405801426711494

%C ...1020849168..273455709590.101807826393734

%C ..10715275730.5736244294410

%C .112555491252

%H R. H. Hardin, <a href="/A251909/b251909.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=1 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 10 2014

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Last modified May 20 16:58 EDT 2022. Contains 353876 sequences. (Running on oeis4.)