A206006 - OEIS

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

%S 722,3706,12068,64224,211824,1159120,3850160,21563332,71908620,

%T 410324398,1371057344,7935278938,26539793884,155196079882,

%U 519275349560,3058687618974,10235947682204,60595706198366,202797923521632

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

%C Column 4 of A206010

%H R. H. Hardin, <a href="/A206006/b206006.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +42*a(n-2) -482*a(n-3) -293*a(n-4) +11440*a(n-5) -11229*a(n-6) -137742*a(n-7) +261810*a(n-8) +894760*a(n-9) -2462973*a(n-10) -2981208*a(n-11) +12607691*a(n-12) +3180168*a(n-13) -38516874*a(n-14) +11294550*a(n-15) +72866395*a(n-16) -51223616*a(n-17) -84265347*a(n-18) +98230578*a(n-19) +50978982*a(n-20) -112745308*a(n-21) +3184853*a(n-22) +82656280*a(n-23) -34966370*a(n-24) -37445012*a(n-25) +32301744*a(n-26) +8331808*a(n-27) -15845182*a(n-28) +649616*a(n-29) +4536888*a(n-30) -914656*a(n-31) -719464*a(n-32) +226432*a(n-33) +51024*a(n-34) -24320*a(n-35) -128*a(n-36) +1024*a(n-37) -128*a(n-38) for n>40

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 02 2012