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A260926 Number of (n+2) X (7+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101. 1

%I #6 Sep 03 2022 20:57:48

%S 883,1528,7680,25690,82766,253264,971381,2901724,10470430,32212024,

%T 118158061,357207408,1307239067,3983812562,14565958591,44252940160,

%U 161970281879,492560981246,1801700119918,5477908769440,20043051801535

%N Number of (n+2) X (7+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101.

%C Column 7 of A260927.

%H R. H. Hardin, <a href="/A260926/b260926.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +91*a(n-4) +334*a(n-6) -779*a(n-8) -3685*a(n-10) +7226*a(n-12) +20922*a(n-14) -62627*a(n-16) -27148*a(n-18) +249596*a(n-20) -142965*a(n-22) -601602*a(n-24) +1185157*a(n-26) -586527*a(n-28) -552103*a(n-30) +736485*a(n-32) -49406*a(n-34) -272061*a(n-36) +63499*a(n-38) +50155*a(n-40) -1001*a(n-42) -4198*a(n-44) -4416*a(n-46) -1042*a(n-48) -51*a(n-50) -100*a(n-52) -10*a(n-54) for n>59.

%e Some solutions for n=4

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

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

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

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

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

%e ..1..0..1..0..1..0..1..0..0....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 September 10 09:32 EDT 2024. Contains 375786 sequences. (Running on oeis4.)