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A285152 T(n,k) = Number of n X k 0..1 arrays with the number of 1s horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1. 14

%I

%S 0,0,0,1,2,0,2,14,12,0,6,58,113,56,0,12,210,820,786,236,0,28,788,5773,

%T 11574,5742,950,0,56,2960,41620,159060,166624,42176,3752,0,119,11168,

%U 305641,2284666,4551741,2446130,314197,14684,0,236,42402,2274080

%N T(n,k) = Number of n X k 0..1 arrays with the number of 1s horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Table starts

%C .0.....0........1..........2.............6...............12.................28

%C .0.....2.......14.........58...........210..............788...............2960

%C .0....12......113........820..........5773............41620.............305641

%C .0....56......786......11574........159060..........2284666...........33371602

%C .0...236.....5742.....166624.......4551741........130177958.........3791298670

%C .0...950....42176....2446130.....133021570.......7586120602.......440991447842

%C .0..3752...314197...36367674....3943470769.....448765516394.....52105131287528

%C .0.14684..2359900..545774302..118107656722...26835088076336...6225574564196248

%C .0.57192.17852820.8250020936.3565079136422.1617833226931330.750114767208917980

%H R. H. Hardin, <a href="/A285152/b285152.txt">Table of n, a(n) for n = 1..198</a>

%e Some solutions for n=4, k=4

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

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

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

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

%Y Row 1 is A284449.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Apr 12 2017

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Last modified December 3 13:43 EST 2021. Contains 349463 sequences. (Running on oeis4.)