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A252205 Number of (n+2)X(3+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 #4 Dec 15 2014 08:24:28

%S 9312,17276,110128,332462,2908856,22430534,65275092,634915114,

%T 5227154036,14646511730,151229828648,1283725464674,3514356997020,

%U 37441377416842,322401720094316,871431684514562,9433122571600616,81784148775215954

%N Number of (n+2)X(3+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 3 of A252210

%H R. H. Hardin, <a href="/A252205/b252205.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 454*a(n-3) -60039*a(n-6) +2444346*a(n-9) -12981624*a(n-12) +14332416*a(n-15) +13041664*a(n-18) -16777216*a(n-21) for n>24

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified May 8 18:04 EDT 2024. Contains 372340 sequences. (Running on oeis4.)