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A252619 Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8 1

%I

%S 1635,5304,15119,43595,147592,433665,1358948,4510703,13168210,

%T 41784191,138318568,403291980,1282563188,4244649464,12367849652,

%U 39358997579,130295588917,379413675833,1207890310364,4000234488188,11641349806833

%N Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

%C Row 4 of A252615

%H R. H. Hardin, <a href="/A252619/b252619.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 87*a(n-3) -2807*a(n-6) +43901*a(n-9) -398524*a(n-12) +2360470*a(n-15) -9915211*a(n-18) +31252617*a(n-21) -75900949*a(n-24) +141692395*a(n-27) -198619746*a(n-30) +202498624*a(n-33) -145833984*a(n-36) +72479094*a(n-39) -24333174*a(n-42) +5351052*a(n-45) -726164*a(n-48) +53920*a(n-51) -1600*a(n-54) for n>58

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified September 25 17:17 EDT 2022. Contains 356986 sequences. (Running on oeis4.)