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A260472 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101 1

%I #4 Jul 26 2015 18:00:41

%S 414,1085,4607,15502,57524,228287,839073,3095233,11809031,44303443,

%T 164909771,620730229,2333261427,8731252217,32758466355,123014796659,

%U 461213884299,1729719499043,6490923837905,24348087968989,91323390042221

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

%C Column 5 of A260475

%H R. H. Hardin, <a href="/A260472/b260472.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +33*a(n-3) +20*a(n-4) -18*a(n-5) -257*a(n-6) -260*a(n-7) -42*a(n-8) +912*a(n-9) +794*a(n-10) +181*a(n-11) -1126*a(n-12) -774*a(n-13) +140*a(n-14) +1295*a(n-15) +182*a(n-16) -2115*a(n-17) -2863*a(n-18) -1164*a(n-19) +2571*a(n-20) +3736*a(n-21) +1547*a(n-22) -1848*a(n-23) -2648*a(n-24) +734*a(n-25) +4007*a(n-26) +4392*a(n-27) -255*a(n-28) -4650*a(n-29) -4693*a(n-30) -1324*a(n-31) +1748*a(n-32) +1791*a(n-33) +136*a(n-34) -632*a(n-35) -677*a(n-36) +143*a(n-37) +278*a(n-38) +264*a(n-39) +10*a(n-40) -12*a(n-41) -24*a(n-42) for n>47

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260475

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2015

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)