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A234119 Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

%I A234119 #6 Jun 02 2025 09:12:02
%S A234119 14527,1082977,79003521,5807422543,427196005695,31446640848897,
%T A234119 2315408571668225,170502665692732079,12556134956123911615,
%U A234119 924677153131389366689,68097056429203867060865,5014969801413653091728655
%N A234119 Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.
%C A234119 Column 5 of A234122
%H A234119 R. H. Hardin, <a href="/A234119/b234119.txt">Table of n, a(n) for n = 1..210</a>
%F A234119 Empirical: a(n) = 104*a(n-1) -1893*a(n-2) -33284*a(n-3) +535522*a(n-4) +4829920*a(n-5) -36672922*a(n-6) -308181352*a(n-7) +266551299*a(n-8) +4516883912*a(n-9) +2174714575*a(n-10) -20675388468*a(n-11) -11598332564*a(n-12) +40919536464*a(n-13) +9741869952*a(n-14) -32943946752*a(n-15) +6233518080*a(n-16) +2468413440*a(n-17)
%e A234119 Some solutions for n=1
%e A234119 ..2..2..2..2..1..2....0..1..0..1..0..1....1..2..1..1..2..2....1..1..2..1..1..2
%e A234119 ..1..2..1..1..1..1....1..1..1..0..1..1....2..2..1..2..1..1....0..1..2..2..1..2
%K A234119 nonn
%O A234119 1,1
%A A234119 _R. H. Hardin_, Dec 19 2013