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A259248 Number of (n+1)X(6+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111.

%I A259248 #6 Jun 02 2025 11:49:47
%S A259248 588,5216,41552,361728,2964676,25462352,211569948,1802996568,
%T A259248 15090948960,128059095616,1076133958644,9111215773728,76735453511764,
%U A259248 648920372600856,5472076754002096,46246969544401512,390256929158755132
%N A259248 Number of (n+1)X(6+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111.
%C A259248 Column 6 of A259250
%H A259248 R. H. Hardin, <a href="/A259248/b259248.txt">Table of n, a(n) for n = 1..210</a>
%F A259248 Empirical: a(n) = 18*a(n-1) +4*a(n-2) -1673*a(n-3) +5523*a(n-4) +59794*a(n-5) -285439*a(n-6) -1125159*a(n-7) +6632986*a(n-8) +12721025*a(n-9) -87684501*a(n-10) -94080286*a(n-11) +710791611*a(n-12) +488130615*a(n-13) -3604094066*a(n-14) -1833458263*a(n-15) +11326266573*a(n-16) +4724718346*a(n-17) -21581019805*a(n-18) -7446002885*a(n-19) +24486208594*a(n-20) +6596083231*a(n-21) -16015478187*a(n-22) -3007670078*a(n-23) +5645651298*a(n-24) +594934259*a(n-25) -947418958*a(n-26) -24710432*a(n-27) +60791760*a(n-28) -1899504*a(n-29) -988000*a(n-30) +58880*a(n-31)
%e A259248 Some solutions for n=3
%e A259248 ..1..1..0..1..1..1..1....0..0..1..0..0..0..0....0..1..0..0..1..1..1
%e A259248 ..0..1..0..1..0..1..0....0..0..1..0..0..0..0....1..1..0..0..1..0..0
%e A259248 ..0..1..0..1..1..1..0....1..1..1..1..1..1..1....0..1..1..1..1..1..1
%e A259248 ..0..1..0..1..0..1..0....0..1..0..0..1..0..0....1..1..0..0..1..0..0
%Y A259248 Cf. A259250
%K A259248 nonn
%O A259248 1,1
%A A259248 _R. H. Hardin_, Jun 22 2015