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A252152 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7 1

%I

%S 2591,1898,3197,4988,9572,17803,35924,68613,140294,268864,553258,

%T 1064524,2194400,4229940,8737784,16851232,34844104,67252048,139112864,

%U 268589808,555851264,1073324704,2221749568,4290919264,8882898080,17157089760

%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7

%C Column 3 of A252157

%H R. H. Hardin, <a href="/A252152/b252152.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-2) +2*a(n-3) -6*a(n-4) -24*a(n-5) +16*a(n-6) +8*a(n-7) +32*a(n-8) -32*a(n-9) for n>14

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified May 16 11:02 EDT 2022. Contains 353700 sequences. (Running on oeis4.)