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A260205 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001 1

%I #4 Jul 19 2015 08:00:42

%S 1044,2864,15715,71846,359112,1819901,8929505,44267361,220591626,

%T 1093197469,5423252998,26935491998,133662286873,663325778447,

%U 3292652533635,16341908119400,81107178453353,402565198408300

%N Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001

%C Column 6 of A260207

%H R. H. Hardin, <a href="/A260205/b260205.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-2) +66*a(n-3) +95*a(n-4) +43*a(n-5) -720*a(n-6) -1911*a(n-7) -1442*a(n-8) +3264*a(n-9) +10821*a(n-10) +19141*a(n-11) +2814*a(n-12) -66628*a(n-13) -89804*a(n-14) +31181*a(n-15) +153550*a(n-16) +92838*a(n-17) +40230*a(n-18) -70110*a(n-19) -229684*a(n-20) -107631*a(n-21) -94711*a(n-22) +28881*a(n-23) +390574*a(n-24) +124645*a(n-25) -26599*a(n-26) -25097*a(n-27) -277598*a(n-28) +259486*a(n-29) +159878*a(n-30) -12870*a(n-31) -21470*a(n-32) -444709*a(n-33) -78037*a(n-34) -123573*a(n-35) +71536*a(n-36) +64021*a(n-37) -594*a(n-38) +19314*a(n-39) -12660*a(n-40) +3610*a(n-41) +920*a(n-42) -1448*a(n-43) +704*a(n-44) -128*a(n-45) for n>46

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260207

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 19 2015

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)