A260137 - OEIS

%I #4 Jul 17 2015 06:59:09

%S 1880,8998,61914,266156,1340176,7839850,39696994,200149838,1081436482,

%T 5672351526,29202675242,153702924266,807944925446,4206057040818,

%U 22004575402798,115383468865762,603019794931990,3152862366134910

%N Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111

%C Column 7 of A260138

%H R. H. Hardin, <a href="/A260137/b260137.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +112*a(n-3) +101*a(n-4) -58*a(n-5) -3612*a(n-6) -5370*a(n-7) -1040*a(n-8) +60962*a(n-9) +85530*a(n-10) +30213*a(n-11) -547937*a(n-12) -706102*a(n-13) -360232*a(n-14) +3054976*a(n-15) +3266750*a(n-16) +2000118*a(n-17) -11214142*a(n-18) -9189754*a(n-19) -5342978*a(n-20) +29875060*a(n-21) +16617176*a(n-22) +7719994*a(n-23) -60637752*a(n-24) -23269512*a(n-25) -8579728*a(n-26) +86059704*a(n-27) +26401696*a(n-28) +13602048*a(n-29) -78987136*a(n-30) -15397504*a(n-31) -14402976*a(n-32) +45323648*a(n-33) +2566528*a(n-34) +3310848*a(n-35) -17071872*a(n-36) -67584*a(n-37) +1142784*a(n-38) +4982784*a(n-39) +399360*a(n-40) -516096*a(n-42) for n>44

%e Some solutions for n=3

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

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

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

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

%Y Cf. A260138

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015