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A252577 Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.

%I A252577 #6 Jun 02 2025 11:24:12
%S A252577 890,1558,4168,9051,30532,92725,208375,715437,2196824,4932817,
%T A252577 17087917,52719076,118137939,412475333,1277261765,2857270465,
%U A252577 10039630707,31180060771,69654819267,245981412469,765710684488,1708718651733
%N A252577 Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.
%C A252577 Row 3 of A252574
%H A252577 R. H. Hardin, <a href="/A252577/b252577.txt">Table of n, a(n) for n = 1..210</a>
%F A252577 Empirical: a(n) = 46*a(n-3) -572*a(n-6) +1298*a(n-9) -3089*a(n-12) +4222*a(n-15) -3472*a(n-18) +3104*a(n-21) -1536*a(n-24) for n>32
%e A252577 Some solutions for n=4
%e A252577 ..0..0..2..0..0..2....1..3..2..2..3..1....1..0..0..2..0..0....0..2..0..0..2..0
%e A252577 ..3..1..2..3..2..2....0..0..1..0..0..2....2..3..1..2..3..2....0..0..2..0..0..2
%e A252577 ..0..2..0..0..1..0....2..0..0..2..0..0....0..0..2..0..0..1....3..2..2..3..2..1
%e A252577 ..0..0..2..0..0..2....2..3..2..2..3..2....2..0..0..1..0..0....0..1..0..0..2..0
%e A252577 ..3..2..2..3..2..1....0..0..1..0..0..1....2..3..2..2..3..2....1..0..1..0..0..2
%K A252577 nonn
%O A252577 1,1
%A A252577 _R. H. Hardin_, Dec 18 2014