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A260136 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111 1

%I #4 Jul 17 2015 06:58:26

%S 944,3928,22522,85048,365308,1799114,7839850,33893514,155470816,

%T 697051946,3073153820,13791352932,61881071698,275443687654,

%U 1230459293574,5508072254348,24593824347286,109832226922584,491024767206608

%N Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111

%C Column 6 of A260138

%H R. H. Hardin, <a href="/A260136/b260136.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +61*a(n-3) +47*a(n-4) -60*a(n-5) -990*a(n-6) -1180*a(n-7) +352*a(n-8) +8249*a(n-9) +7603*a(n-10) -2855*a(n-11) -30388*a(n-12) -20354*a(n-13) +5185*a(n-14) +61744*a(n-15) +24167*a(n-16) -8563*a(n-17) -72780*a(n-18) -8588*a(n-19) +15051*a(n-20) +61538*a(n-21) -6778*a(n-22) -13766*a(n-23) -35716*a(n-24) +1294*a(n-25) +5880*a(n-26) +10338*a(n-27) +1680*a(n-28) -1116*a(n-30) for n>32

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260138

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015

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Last modified April 25 09:38 EDT 2024. Contains 371967 sequences. (Running on oeis4.)