A206994 - OEIS

%I #7 Jul 19 2017 15:44:33

%S 2,4,4,7,16,7,13,49,49,13,24,169,174,169,24,44,576,840,840,576,44,81,

%T 1936,3858,6510,3858,1936,81,149,6561,17460,46878,46878,17460,6561,

%U 149,274,22201,80070,329952,516724,329952,80070,22201,274,504,75076,365784

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

%C Table starts

%C ...2.....4......7.......13........24..........44...........81............149

%C ...4....16.....49......169.......576........1936.........6561..........22201

%C ...7....49....174......840......3858.......17460........80070.........365784

%C ..13...169....840.....6510.....46878......329952......2371090.......16939450

%C ..24...576...3858....46878....516724.....5517786.....60684900......661767626

%C ..44..1936..17460...329952...5517786....88819714...1482397764....24487141408

%C ..81..6561..80070..2371090..60684900..1482397764..37849652838...954576893140

%C .149.22201.365784.16939450.661767626.24487141408.954576893140.36679559167444

%H R. H. Hardin, <a href="/A206994/b206994.txt">Table of n, a(n) for n = 1..311</a>

%H Shizuo Kaji, A Derouet-Jourdan, H Ochiai, Dappled tiling, arXiv preprint arXiv:1607.06138, 2016

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A000073(n+3)

%Y Column 2 is A085697(n+1)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 14 2012