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Number of (n+2)X(4+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7
1

%I #4 Dec 08 2014 20:07:16

%S 6144,14908,44504,149364,541656,1765074,6446816,24880436,90369250,

%T 354040208,1437800720,5668460910,23255195002,97097665658,400041205158,

%U 1677704911872,7090646094602,29794962043796,126115432891882

%N Number of (n+2)X(4+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7

%C Column 4 of A251791

%H R. H. Hardin, <a href="/A251787/b251787.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2014