A259962 - OEIS

%I #4 Jul 10 2015 08:31:04

%S 34,67,67,155,146,155,353,439,439,353,808,1187,1603,1187,808,1884,

%T 3227,5449,5449,3227,1884,4340,8964,18681,22622,18681,8964,4340,9925,

%U 24719,64891,95505,95505,64891,24719,9925,22799,67952,222813,410928,501606

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001

%C Table starts

%C ....34.....67.....155.......353........808........1884.........4340

%C ....67....146.....439......1187.......3227........8964........24719

%C ...155....439....1603......5449......18681.......64891.......222813

%C ...353...1187....5449.....22622......95505......410928......1749180

%C ...808...3227...18681.....95505.....501606.....2680028.....14134043

%C ..1884...8964...64891....410928....2680028....17818241....116786951

%C ..4340..24719..222813...1749180...14134043...116786951....949570630

%C ..9925..67952..764865...7428045...74413321...764080109...7710610630

%C .22799.187266.2637815..31652938..393674107..5022583984..62925603555

%C .52515.516133.9090487.134864351.2081832486.33001259193.513205618429

%H R. H. Hardin, <a href="/A259962/b259962.txt">Table of n, a(n) for n = 1..449</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1) +3*a(n-3) +5*a(n-4) +6*a(n-5) +6*a(n-6) +2*a(n-7) for n>8

%F k=2: [order 8] for n>9

%F k=3: [order 15] for n>16

%F k=4: [order 23] for n>25

%F k=5: [order 43] for n>44

%F k=6: [order 71] for n>73

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jul 10 2015