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Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111
1

%I #4 Jun 23 2015 13:43:52

%S 434,3938,31774,273686,2293928,19528726,165147350,1402044186,

%T 11882217182,100805628896,854788219326,7250421894706,61489557032118,

%U 521532393880894,4423217189081992,37515428883279070,318180075628925406

%N Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111

%C Column 5 of A259297

%H R. H. Hardin, <a href="/A259294/b259294.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +94*a(n-2) -260*a(n-3) -3104*a(n-4) +6922*a(n-5) +48854*a(n-6) -94118*a(n-7) -411428*a(n-8) +687376*a(n-9) +1991983*a(n-10) -2792826*a(n-11) -5747356*a(n-12) +6404184*a(n-13) +9882208*a(n-14) -8117120*a(n-15) -9774592*a(n-16) +5218304*a(n-17) +5062656*a(n-18) -1310720*a(n-19) -1048576*a(n-20)

%e Some solutions for n=3

%e ..0..1..0..1..0..1....1..0..1..1..1..0....1..1..0..0..1..0....0..1..1..1..1..0

%e ..1..1..1..1..1..1....0..1..0..1..0..0....1..0..0..1..1..1....1..1..0..1..0..1

%e ..1..0..1..0..1..0....1..0..1..0..1..0....0..0..1..1..0..1....1..0..1..1..1..0

%e ..0..1..0..0..0..1....0..1..1..1..1..1....1..0..0..1..1..1....0..0..0..1..0..0

%Y Cf. A259297

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 23 2015