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

%I #6 Oct 18 2021 17:01:47

%S 55766,1317638,9758786,60326174,1341002006,10300749962,63113882510,

%T 1412118575318,10829849843426,66416445639470,1485781706304062,

%U 11396019453393170,69887054317270646,1563452949340108814

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

%C Column 7 of A251779.

%H R. H. Hardin, <a href="/A251778/b251778.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A251778/a251778.txt">Empirical recurrence of order 64</a>

%F Empirical recurrence of order 64 (see link above).

%e Some solutions for n=1

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

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

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

%Y Cf. A251779.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2014