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A205994 Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two, and every 2X2 determinant nonzero 1

%I #5 Mar 31 2012 12:37:09

%S 1184,14866,189430,2437024,31326018,403768668,5195655486,66947088104,

%T 861764789094,11101218786716,142925095236492,1840894346159884,

%U 23703493987332650,305280014387629340,3931041030713379578

%N Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two, and every 2X2 determinant nonzero

%C Column 4 of A205998

%H R. H. Hardin, <a href="/A205994/b205994.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +129*a(n-2) -959*a(n-3) -2642*a(n-4) +23760*a(n-5) +29110*a(n-6) -294329*a(n-7) -233474*a(n-8) +2089321*a(n-9) +1217510*a(n-10) -7615126*a(n-11) -4368220*a(n-12) +12862612*a(n-13) -84886*a(n-14) -22987038*a(n-15) +4272374*a(n-16) +30922371*a(n-17) +17506373*a(n-18) +7832373*a(n-19) -2220854*a(n-20) -17869842*a(n-21) -12972492*a(n-22) -5160865*a(n-23) -3810944*a(n-24) +4001127*a(n-25) +3976405*a(n-26) -1150220*a(n-27) -615736*a(n-28) +213944*a(n-29) +46224*a(n-30) +19196*a(n-31) +18136*a(n-32) -1136*a(n-33) -1296*a(n-34) -128*a(n-35) +64*a(n-36)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 02 2012

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)