|
%I #4 Aug 13 2015 06:40:25
%S 36,41,41,91,52,91,166,110,110,166,321,232,288,232,321,586,418,690,
%T 690,418,586,1123,758,1483,1918,1483,758,1123,2082,1436,2948,4350,
%U 4350,2948,1436,2082,3938,2724,6795,10382,11733,10382,6795,2724,3938,7358,5122
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.
%C Table starts
%C ...36...41....91....166.....321.....586.....1123......2082.......3938
%C ...41...52...110....232.....418.....758.....1436......2724.......5122
%C ...91..110...288....690....1483....2948.....6795.....14292......32297
%C ..166..232...690...1918....4350...10382....26072.....63964.....155288
%C ..321..418..1483...4350...11733...28540....85617....217484.....628033
%C ..586..758..2948..10382...28540...85506...274100....842884....2548286
%C .1123.1436..6795..26072...85617..274100..1062118...3488342...12721239
%C .2082.2724.14292..63964..217484..842884..3488342..13599460...52483912
%C .3938.5122.32297.155288..628033.2548286.12721239..52483912..242945986
%C .7358.9588.66828.379950.1580858.7832046.41920830.207199986.1013896912
%H R. H. Hardin, <a href="/A261265/b261265.txt">Table of n, a(n) for n = 1..1010</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +a(n-2) +2*a(n-4) +a(n-6) for n>7
%F k=2: a(n) = a(n-1) +2*a(n-3) +a(n-4) +2*a(n-5) for n>6
%F k=3: [order 12] for n>13
%F k=4: [order 16] for n>17
%F k=5: [order 25] for n>28
%F k=6: [order 31] for n>36
%F k=7: [order 55] for n>62
%e Some solutions for n=4 k=4
%e ..0..1..0..0..0..1....0..0..1..0..0..0....1..0..1..0..1..0....1..0..0..1..0..1
%e ..1..0..1..0..1..0....0..1..0..1..0..1....0..0..0..1..0..1....0..0..1..0..1..0
%e ..0..1..0..1..0..1....1..0..1..0..1..0....1..0..1..0..0..0....0..1..0..1..0..1
%e ..1..0..1..0..0..0....0..1..0..1..0..1....0..1..0..1..0..1....1..0..1..0..1..0
%e ..0..0..0..1..0..1....1..0..0..0..1..0....0..0..1..0..1..0....0..1..0..1..0..1
%e ..0..0..1..0..1..0....0..0..1..0..0..1....0..1..0..0..0..1....1..0..1..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Aug 13 2015
| 