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A259890 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011 1

%I #4 Jul 07 2015 10:37:44

%S 499,1853,13373,58800,202632,954624,4585294,18966448,80737802,

%T 366501170,1610438050,6928342996,30446045528,134338881490,

%U 586149763228,2560529857154,11241312446298,49255090317994,215425770352536

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011

%C Column 4 of A259894

%H R. H. Hardin, <a href="/A259890/b259890.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-2) +34*a(n-3) +80*a(n-4) -71*a(n-5) -356*a(n-6) -455*a(n-7) -587*a(n-8) +739*a(n-9) +2387*a(n-10) +1309*a(n-11) +297*a(n-12) -613*a(n-13) -1780*a(n-14) -1644*a(n-15) -1034*a(n-16) -291*a(n-17) +137*a(n-18) +53*a(n-19) +18*a(n-20) +12*a(n-21) -6*a(n-22)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A259894

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 07 2015

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Last modified July 21 05:28 EDT 2024. Contains 374463 sequences. (Running on oeis4.)