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A252422 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7 1

%I #4 Dec 17 2014 10:22:06

%S 5725,12214,53782,113324,715123,3582225,7509929,47586055,239646231,

%T 500354430,3170646607,15978230331,33346465798,211307919221,

%U 1064963403405,2222470763470,14083175964469,70978102590637,148123236212674

%N Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7

%C Column 7 of A252423

%H R. H. Hardin, <a href="/A252422/b252422.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 94*a(n-3) -2103*a(n-6) +20000*a(n-9) -92106*a(n-12) +209364*a(n-15) -240176*a(n-18) +130272*a(n-21) -25344*a(n-24) for n>33

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)