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A260925 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101 1

%I #4 Aug 04 2015 07:37:30

%S 491,831,3358,10617,27582,81848,253264,736065,2137558,6366003,

%T 18836612,55281733,162975870,481592042,1419353824,4182760615,

%U 12337678966,36391723458,107281631494,316367367773,932912838818,2751181217369

%N Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101

%C Column 6 of A260927

%H R. H. Hardin, <a href="/A260925/b260925.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +54*a(n-4) +147*a(n-6) -232*a(n-8) -760*a(n-10) +1201*a(n-12) +1735*a(n-14) -4951*a(n-16) +1746*a(n-18) +4365*a(n-20) -3877*a(n-22) -2176*a(n-24) +4748*a(n-26) -2239*a(n-28) +25*a(n-30) +151*a(n-32) +117*a(n-34) -35*a(n-36) -2*a(n-38) -a(n-40) for n>42

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260927

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 04 2015

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)