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A207695 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically 1

%I #5 Mar 31 2012 12:37:19

%S 9,81,144,256,768,2304,5856,14884,42700,122500,320600,839056,2361448,

%T 6646084,17633520,46785600,130315680,362978704,970889920,2596921600,

%U 7186175360,19885512256,53475523456,143804774656,396160887744

%N Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically

%C Row 4 of A207693

%H R. H. Hardin, <a href="/A207695/b207695.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-3) +64*a(n-4) +16*a(n-5) +4*a(n-6) -20*a(n-7) -1112*a(n-8) -324*a(n-9) +40*a(n-10) -136*a(n-11) +7516*a(n-12) +2032*a(n-13) -192*a(n-14) +1936*a(n-15) -23584*a(n-16) -4720*a(n-17) -5888*a(n-19) +37360*a(n-20) +3968*a(n-21) +480*a(n-22) +6464*a(n-23) -29872*a(n-24) -704*a(n-25) -256*a(n-26) -2592*a(n-27) +11072*a(n-28) -256*a(n-29) -64*a(n-30) +320*a(n-31) -1600*a(n-32) +64*a(n-33) +64*a(n-36) for n>39

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)