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A252204 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7 1

%I

%S 4743,5178,17276,44322,215814,932474,2568954,12883538,56985498,

%T 157484310,797509638,3566734178,9868152522,50206875026,225779395146,

%U 624968086326,3187016754054,14371363263554,39789382386954,203137189251218

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7

%C Column 2 of A252210

%H R. H. Hardin, <a href="/A252204/b252204.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 118*a(n-3) -4263*a(n-6) +55050*a(n-9) -221016*a(n-12) +206976*a(n-15) +225280*a(n-18) -262144*a(n-21) for n>25

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified October 28 13:26 EDT 2021. Contains 348329 sequences. (Running on oeis4.)