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A207766 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically. 1

%I

%S 21,441,1087,6459,21547,56651,235872,862146,2629798,9529570,34708948,

%T 114255562,396908066,1416972222,4828733870,16634895736,58487207221,

%U 201993811973,696619145912,2429011369708,8423471768055,29119549204363

%N Number of 6 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically.

%C Row 6 of A207762.

%H R. H. Hardin, <a href="/A207766/b207766.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -3*a(n-2) +47*a(n-3) -100*a(n-4) +68*a(n-5) -729*a(n-6) +1351*a(n-7) -599*a(n-8) +5751*a(n-9) -10798*a(n-10) +4250*a(n-11) -27354*a(n-12) +54520*a(n-13) -24176*a(n-14) +83574*a(n-15) -172480*a(n-16) +85820*a(n-17) -163088*a(n-18) +335152*a(n-19) -176096*a(n-20) +192808*a(n-21) -384288*a(n-22) +203280*a(n-23) -123648*a(n-24) +236544*a(n-25) -122496*a(n-26) +32640*a(n-27) -59904*a(n-28) +29952*a(n-29) for n>31.

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Cf. A207762.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2012

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Last modified November 29 06:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)