A252563 - OEIS

%I #6 Jun 02 2025 11:22:35

%S 2162,7144,33635,80820,474384,2464176,5882014,35442488,192831680,

%T 452243221,2794490907,15799881103,36529660074,230231519250,

%U 1340006010540,3065481912634,19603327646392,116462461825208,264466171501177

%N Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7.

%C Row 5 of A252558

%H R. H. Hardin, <a href="/A252563/b252563.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 156*a(n-3) -6470*a(n-6) +53472*a(n-9) -284258*a(n-12) +1115672*a(n-15) -1799999*a(n-18) +969878*a(n-21) -48450*a(n-24) for n>32

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014