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A260173 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001 1

%I #4 Jul 17 2015 13:54:57

%S 409,1001,2598,6973,19701,55849,153286,432380,1232980,3453740,9694328,

%T 27459576,77441354,217625342,613977178,1733263382,4880225452,

%U 13751170422,38794513220,109345894200,308089966994,868658498318,2449053719350

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001

%C Column 4 of A260177

%H R. H. Hardin, <a href="/A260173/b260173.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-3) +25*a(n-4) +28*a(n-5) +66*a(n-6) +125*a(n-7) -15*a(n-8) +52*a(n-9) +338*a(n-10) -543*a(n-11) -412*a(n-12) +519*a(n-13) -1486*a(n-14) -1060*a(n-15) -1116*a(n-16) -1720*a(n-17) +4181*a(n-18) +1919*a(n-19) -9646*a(n-20) -5684*a(n-21) -4344*a(n-22) -771*a(n-23) +167*a(n-24) -4981*a(n-25) -16062*a(n-26) -11196*a(n-27) -20502*a(n-28) -4062*a(n-29) +5277*a(n-30) -11378*a(n-31) +6709*a(n-32) +39407*a(n-33) +38408*a(n-34) +7952*a(n-35) +943*a(n-36) +15819*a(n-37) +3082*a(n-38) -12144*a(n-39) -17820*a(n-40) +4556*a(n-41) +8167*a(n-42) -3328*a(n-43) -6859*a(n-44) -4984*a(n-45) +5034*a(n-46) +1592*a(n-47) +356*a(n-48) -710*a(n-49) +346*a(n-50) +538*a(n-51) -60*a(n-52) -52*a(n-53) -168*a(n-54) for n>57

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260177

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015

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Last modified April 19 02:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)