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A202795 T(n,k)=Number of nXk binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically.

%I A202795 #7 Jul 22 2025 16:50:31
%S A202795 1,2,2,4,12,4,7,50,50,7,12,188,398,188,12,21,724,3018,3018,724,21,37,
%T A202795 2820,23436,45519,23436,2820,37,65,10960,182430,702846,702846,182430,
%U A202795 10960,65,114,42544,1417772,10892633,21649928,10892633,1417772,42544,114
%N A202795 T(n,k)=Number of nXk binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically.
%C A202795 Table starts
%C A202795 ...1......2.........4............7..............12.................21
%C A202795 ...2.....12........50..........188.............724...............2820
%C A202795 ...4.....50.......398.........3018...........23436.............182430
%C A202795 ...7....188......3018........45519..........702846...........10892633
%C A202795 ..12....724.....23436.......702846........21649928..........669872090
%C A202795 ..21...2820....182430.....10892633.......669872090........41382940317
%C A202795 ..37..10960...1417772....168585867.....20696263392......2552520578945
%C A202795 ..65..42544..11017196...2608652667....639259508770....157398925950921
%C A202795 .114.165176..85621362..40368680378..19746821708510...9706685199080140
%C A202795 .200.641376.665418194.624709738658.609991818060458.598614098605286252
%H A202795 R. H. Hardin, <a href="/A202795/b202795.txt">Table of n, a(n) for n = 1..480</a>
%e A202795 Some solutions for n=5 k=3
%e A202795 ..0..1..1....0..1..0....0..1..0....1..0..1....1..0..1....0..1..0....0..1..1
%e A202795 ..0..0..0....1..1..1....1..0..1....1..1..0....1..0..1....1..0..0....0..1..1
%e A202795 ..0..1..1....0..1..1....1..1..0....0..0..0....0..1..0....0..1..0....0..1..1
%e A202795 ..0..1..1....1..0..1....0..1..0....1..0..0....0..1..1....1..1..1....1..0..0
%e A202795 ..0..1..1....1..1..0....1..0..1....1..1..0....1..0..0....1..0..1....1..0..0
%Y A202795 Column 1 is A005251(n+2)
%K A202795 nonn,tabl
%O A202795 1,2
%A A202795 _R. H. Hardin_ Dec 24 2011