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A252423 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7 9

%I #4 Dec 17 2014 10:22:47

%S 830,1006,1006,1099,854,1099,1536,1098,1098,1536,2380,1704,2348,1704,

%T 2380,3719,3472,3796,3796,3472,3719,5725,7186,11409,6834,11409,7186,

%U 5725,9410,12214,30724,22038,22038,30724,12214,9410,15913,28034,53782,62288

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7

%C Table starts

%C ...830...1006...1099....1536.....2380......3719......5725.......9410

%C ..1006....854...1098....1704.....3472......7186.....12214......28034

%C ..1099...1098...2348....3796....11409.....30724.....53782.....173544

%C ..1536...1704...3796....6834....22038.....62288....113324.....380113

%C ..2380...3472..11409...22038....96549....365974....715123....3213732

%C ..3719...7186..30724...62288...365974...1757580...3582225...21882869

%C ..5725..12214..53782..113324...715123...3582225...7509929...47586055

%C ..9410..28034.173544..380113..3213732..21882869..47586055..405192038

%C .15913..60808.488169.1090041.12306520.107926383.239646231.2792722368

%C .24959.104972.862550.1973072.23990357.220463165.500354430.6038049619

%H R. H. Hardin, <a href="/A252423/b252423.txt">Table of n, a(n) for n = 1..480</a>

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)