A202802 - OEIS

%I #7 Oct 14 2023 11:34:16

%S 1,2,2,4,10,4,7,36,36,7,12,126,250,126,12,21,454,1718,1718,454,21,37,

%T 1632,11988,22946,11988,1632,37,65,5854,83518,311144,311144,83518,

%U 5854,65,114,21010,581518,4217066,8222576,4217066,581518,21010,114,200,75412

%N T(n,k) = Number of n X k binary arrays with every one adjacent to another one horizontally or vertically.

%C Table starts

%C ...1......2.........4............7..............12................21

%C ...2.....10........36..........126.............454..............1632

%C ...4.....36.......250.........1718...........11988.............83518

%C ...7....126......1718........22946..........311144...........4217066

%C ..12....454.....11988.......311144.........8222576.........217145076

%C ..21...1632.....83518......4217066.......217145076.......11168045764

%C ..37...5854....581518.....57127796......5730640104......573985849362

%C ..65..21010...4049700....773948962....151245101550....29502860015392

%C .114..75412..28202318..10485233258...3991784606164..1516477156642474

%C .200.270662.196400270.142050385280.105354316048660.77948189988273490

%H R. H. Hardin, <a href="/A202802/b202802.txt">Table of n, a(n) for n = 1..420</a>

%e Some solutions for n=5, k=3

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

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

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

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

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

%Y Column 1 is A005251(n+2).

%Y Diagonal is A134262.

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Dec 24 2011