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A260106 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101 9

%I

%S 48,85,85,206,201,206,472,477,477,472,1116,1151,1136,1151,1116,2575,

%T 2794,2768,2768,2794,2575,6068,6804,6878,7119,6878,6804,6068,14096,

%U 16453,17125,18209,18209,17125,16453,14096,33044,39854,42372,47498,47576,47498

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101

%C Table starts

%C ....48.....85....206.....472....1116.....2575.....6068.....14096.....33044

%C ....85....201....477....1151....2794.....6804....16453.....39854.....96501

%C ...206....477...1136....2768....6878....17125....42372....104772....258690

%C ...472...1151...2768....7119...18209....47498...121800....316688....816233

%C ..1116...2794...6878...18209...47576...127549...336302....903901...2402228

%C ..2575...6804..17125...47498..127549...355098...965197...2690519...7384493

%C ..6068..16453..42372..121800..336302...965197..2703084...7792018..22113228

%C .14096..39854.104772..316688..903901..2690519..7792018..23254546..68275847

%C .33044..96501.258690..816233.2402228..7384493.22113228..68275847.207675396

%C .76925.233975.639184.2113881.6409084.20405960.63167136.201959304.635878858

%H R. H. Hardin, <a href="/A260106/b260106.txt">Table of n, a(n) for n = 1..419</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 9] for n>10

%F k=2: [order 17] for n>18

%F k=3: [order 34] for n>35

%F k=4: [order 57] for n>59

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jul 16 2015

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Last modified January 23 11:42 EST 2022. Contains 350512 sequences. (Running on oeis4.)