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Number of (n+1)X(5+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.
1

%I #7 Jun 02 2025 09:08:51

%S 39331,2990333,229271097,17838321119,1394283842243,109246451313313,

%T 8571344620976281,673096957681408427,52892156321741773975,

%U 4158436836830919908025,327079640918581155148229

%N Number of (n+1)X(5+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

%C Column 5 of A234036

%H R. H. Hardin, <a href="/A234033/b234033.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A234033/a234033.txt">Empirical recurrence of order 95</a>

%F Empirical recurrence of order 95 (see link above)

%e Some solutions for n=1

%e ..2..3..3..2..2..2....2..3..4..4..4..3....3..2..2..3..2..3....4..3..2..2..3..3

%e ..3..2..3..2..2..1....2..3..3..3..4..3....2..3..3..2..3..3....3..3..3..3..3..4

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2013