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Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011
1

%I #4 Jul 03 2015 19:45:45

%S 312,556,1244,2218,3120,7076,13920,21398,42208,89194,149000,268204,

%T 564516,1024388,1778248,3578760,6862832,12025406,23011356,45100872,

%U 81318516,150518778,293879516,545191574,996711856,1914996584,3620486244

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011

%C Column 5 of A259723

%H R. H. Hardin, <a href="/A259720/b259720.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-3) +15*a(n-4) -22*a(n-6) -92*a(n-7) -98*a(n-8) +28*a(n-9) +206*a(n-10) +450*a(n-11) +373*a(n-12) -220*a(n-13) -808*a(n-14) -1314*a(n-15) -956*a(n-16) +726*a(n-17) +1849*a(n-18) +2534*a(n-19) +1881*a(n-20) -1358*a(n-21) -2690*a(n-22) -3590*a(n-23) -3186*a(n-24) +1596*a(n-25) +2896*a(n-26) +4054*a(n-27) +4546*a(n-28) -1350*a(n-29) -2493*a(n-30) -3336*a(n-31) -4943*a(n-32) +904*a(n-33) +1403*a(n-34) +1606*a(n-35) +3667*a(n-36) -382*a(n-37) -410*a(n-38) -346*a(n-39) -1710*a(n-40) +80*a(n-41) +42*a(n-42) -38*a(n-43) +465*a(n-44) +6*a(n-46) +36*a(n-47) -64*a(n-48) -4*a(n-51) +3*a(n-52)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A259723

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 03 2015