A206889 - OEIS

%I #5 Mar 31 2012 12:37:14

%S 2,4,4,7,16,7,12,49,49,12,21,144,240,144,20,37,441,1103,1112,400,33,

%T 65,1369,5357,7878,4792,1089,54,114,4225,26564,59812,51800,20129,2916,

%U 88,200,12996,130828,467146,607043,330951,82807,7744,143,351,40000,641137

%N T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically

%C Table starts

%C ..2....4......7.......12........21..........37............65............114

%C ..4...16.....49......144.......441........1369..........4225..........12996

%C ..7...49....240.....1103......5357.......26564........130828.........641137

%C .12..144...1112.....7878.....59812......467146.......3619683.......27856426

%C .20..400...4792....51800....607043.....7354488......88342972.....1052865902

%C .33.1089..20129...330951...5963040...111550389....2067672443....37988878275

%C .54.2916..82807..2070564..57268342..1648854501...47015346159..1328156697136

%C .88.7744.337209.12830802.544455870.24096775331.1055711535814.45805591252624

%H R. H. Hardin, <a href="/A206889/b206889.txt">Table of n, a(n) for n = 1..364</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A000071(n+3)

%Y Column 2 is A188516

%Y Column 3 is A188757

%Y Row 1 is A005251(n+3)

%Y Row 2 is A188501

%Y Row 3 is A188768

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 13 2012