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A252191 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7 1

%I #4 Dec 15 2014 07:32:21

%S 13044,15094,20974,34532,57284,87230,147696,246676,385720,640208,

%T 1157336,1822536,3077456,5975024,9555784,16548432,34746832,56403528,

%U 100181072,225856592,371166280,672778320,1598569552,2649299016,4867854416

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

%C Column 7 of A252192

%H R. H. Hardin, <a href="/A252191/b252191.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-3) -70*a(n-6) +120*a(n-9) -64*a(n-12) for n>23

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)