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A261110 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101 1

%I #4 Aug 08 2015 14:06:18

%S 183,402,1408,3908,13040,35934,121313,333722,1122579,3092874,10415091,

%T 28671638,96526178,265814264,894920841,2464173816,8296223239,

%U 22844373272,76910486512,211778585434,713000156702,1963298223048,6609877528867

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101

%C Column 5 of A261113

%H R. H. Hardin, <a href="/A261110/b261110.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-2) +35*a(n-4) +47*a(n-6) -39*a(n-8) -15*a(n-10) -71*a(n-12) +169*a(n-14) -113*a(n-16) +39*a(n-18) -10*a(n-20) +a(n-22) +a(n-24) for n>25

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261113

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 08 2015

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Last modified April 16 19:21 EDT 2024. Contains 371754 sequences. (Running on oeis4.)