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A259424 Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111.

%I A259424 #6 Jun 02 2025 11:51:19
%S A259424 1549,43347,1172659,32060569,873754597,23840819225,650266054724,
%T A259424 17738788220867,483879193637566,13199512190239893,360061200620900555,
%U A259424 9821906273427713517,267926042549856960624,7308600191006157186258
%N A259424 Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111.
%C A259424 Column 5 of A259427
%H A259424 R. H. Hardin, <a href="/A259424/b259424.txt">Table of n, a(n) for n = 1..210</a>
%F A259424 Empirical: a(n) = 17*a(n-1) +441*a(n-2) -2594*a(n-3) -55555*a(n-4) +94770*a(n-5) +2585643*a(n-6) -1145599*a(n-7) -55087536*a(n-8) +10831019*a(n-9) +631423949*a(n-10) -174158787*a(n-11) -4164795233*a(n-12) +1850730317*a(n-13) +16079853013*a(n-14) -9710486208*a(n-15) -36305345879*a(n-16) +26374670314*a(n-17) +47459843513*a(n-18) -38661167718*a(n-19) -35383831131*a(n-20) +31279885514*a(n-21) +14561656988*a(n-22) -13867836147*a(n-23) -3157779772*a(n-24) +3250604408*a(n-25) +358449417*a(n-26) -383837702*a(n-27) -21174776*a(n-28) +20439633*a(n-29) +365875*a(n-30) -355511*a(n-31) +15624*a(n-32)
%e A259424 Some solutions for n=2
%e A259424 ..0..1..0..0..1..1....0..1..1..0..1..1....0..0..0..0..1..0....0..0..1..0..1..0
%e A259424 ..0..0..0..0..0..0....0..0..1..1..1..0....0..0..1..0..1..0....1..0..0..0..1..0
%e A259424 ..1..1..1..0..0..0....0..0..0..0..1..1....0..0..1..0..1..0....1..0..1..0..0..0
%Y A259424 Cf. A259427
%K A259424 nonn
%O A259424 1,1
%A A259424 _R. H. Hardin_, Jun 26 2015