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Number of (n+1) X 7 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to two.
1

%I #7 Jun 07 2021 14:26:27

%S 23340,710526,22488006,720376872,23163320754,745699860222,

%T 24015926216514,773556773975484,24917497813440492,802644416569685118,

%U 25854975349134338424,832848064828756464702,26827960607597793524724

%N Number of (n+1) X 7 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to two.

%C Column 6 of A205836.

%H R. H. Hardin, <a href="/A205834/b205834.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 91*a(n-1) -3394*a(n-2) +70217*a(n-3) -905449*a(n-4) +7619101*a(n-5) -41427487*a(n-6) +129709165*a(n-7) -97909311*a(n-8) -774478143*a(n-9) +570970779*a(n-10) +25735073307*a(n-11) -175163833481*a(n-12) +616893588541*a(n-13) -1263458233616*a(n-14) +885545973470*a(n-15) +3462187139358*a(n-16) -14221741494065*a(n-17) +27403962008198*a(n-18) -29161097791119*a(n-19) +5114218190598*a(n-20) +40061714605366*a(n-21) -76192740692776*a(n-22) +72137595403160*a(n-23) -29228539168641*a(n-24) -17987510300387*a(n-25) +36618977341306*a(n-26) -24452431256720*a(n-27) +3581648489075*a(n-28) +6882890889284*a(n-29) -5829393286298*a(n-30) +1628953985880*a(n-31) +384161107080*a(n-32) -436068110448*a(n-33) +148209832296*a(n-34) -24845985360*a(n-35) +1773266256*a(n-36) for n > 37.

%e Some solutions for n=4

%e ..0..0..2..1..2..2..0....1..1..2..1..0..0..2....2..1..1..2..2..0..2

%e ..2..1..0..2..1..0..1....0..2..1..0..2..1..0....1..0..2..1..0..1..0

%e ..0..2..1..0..2..1..0....2..1..2..1..0..2..1....2..1..0..2..1..2..1

%e ..1..0..2..1..0..2..1....0..2..0..2..1..0..2....0..2..1..0..2..1..0

%e ..2..1..0..2..1..0..2....1..0..1..0..2..1..0....1..0..2..1..0..2..1

%Y Cf. A205836.

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 01 2012