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A207892 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically 1

%I #5 Mar 31 2012 12:37:20

%S 13,169,462,2446,11196,49442,231900,1070030,4844224,22421336,

%T 103071836,470766400,2169072096,9960748002,45637352134,209883232908,

%U 963579009422,4420355911200,20311365385702,93248420528358,427991086292782

%N Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically

%C Column 5 of A207895

%H R. H. Hardin, <a href="/A207892/b207892.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-2) +93*a(n-3) +55*a(n-4) -155*a(n-5) -2310*a(n-6) -1767*a(n-7) +2530*a(n-8) +24479*a(n-9) +19496*a(n-10) -21724*a(n-11) -118048*a(n-12) -86251*a(n-13) +80928*a(n-14) +184661*a(n-15) +115235*a(n-16) -40224*a(n-17) +320280*a(n-18) +42178*a(n-19) -373429*a(n-20) -912968*a(n-21) +315033*a(n-22) +519645*a(n-23) -24244*a(n-24) -889210*a(n-25) +150839*a(n-26) +505015*a(n-27) +113924*a(n-28) -323459*a(n-29) +118395*a(n-30) +126286*a(n-31) -90095*a(n-32) +1380*a(n-33) +48458*a(n-34) +19414*a(n-35) -30712*a(n-36) +6513*a(n-37) +8418*a(n-38) -2051*a(n-39) -36*a(n-40) -309*a(n-41) -50*a(n-42) -274*a(n-43) +106*a(n-44) -94*a(n-45) +24*a(n-46) -3*a(n-47) for n>50

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)