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A260978 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101 1

%I #4 Aug 06 2015 11:15:15

%S 2755,1873,2576,5506,9144,18706,30418,62878,107802,218342,372200,

%T 752768,1301722,2647272,4577194,9211590,16034066,32273054,56601764,

%U 112913040,198964362,395528584,701501654,1386971610,2469037804,4864090436

%N Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101

%C Column 6 of A260980

%H R. H. Hardin, <a href="/A260978/b260978.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +4*a(n-4) +5*a(n-5) -24*a(n-6) -16*a(n-7) -5*a(n-8) -19*a(n-9) +45*a(n-10) +52*a(n-11) +93*a(n-12) +99*a(n-13) -146*a(n-14) -41*a(n-15) -248*a(n-16) -361*a(n-17) -18*a(n-18) +74*a(n-19) +403*a(n-20) +114*a(n-21) +370*a(n-22) +526*a(n-23) -274*a(n-24) -928*a(n-25) -347*a(n-26) +126*a(n-27) -792*a(n-28) -714*a(n-29) +668*a(n-30) +1443*a(n-31) -752*a(n-32) +268*a(n-33) +1848*a(n-34) -636*a(n-35) -1068*a(n-36) +1048*a(n-37) +576*a(n-38) -1660*a(n-39) -320*a(n-40) +808*a(n-41) -32*a(n-42) -380*a(n-43) +16*a(n-44) +192*a(n-45) for n>51

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260980

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2015

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Last modified April 19 02:28 EDT 2024. Contains 371782 sequences. (Running on oeis4.)