A284113 - OEIS

%I #6 Apr 05 2020 20:14:04

%S 1,2,2,3,4,3,6,13,13,6,10,46,25,46,10,19,160,435,435,160,19,33,571,

%T 1230,5896,1230,571,33,62,2095,20275,80200,80200,20275,2095,62,112,

%U 7802,67957,1143533,905327,1143533,67957,7802,112,212,29326,1057769,16442183

%N T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Table starts

%C ...1......2........3...........6.............10................19

%C ...2......4.......13..........46............160...............571

%C ...3.....13.......25.........435...........1230.............20275

%C ...6.....46......435........5896..........80200...........1143533

%C ..10....160.....1230.......80200.........905327..........61595318

%C ..19....571....20275.....1143533.......61595318........3514396333

%C ..33...2095....67957....16442183......835390074......202053817163

%C ..62...7802..1057769...240146980....51786529350....11804599876991

%C .112..29326..4091201..3538905880...809052347723...696189477669561

%C .212.111040.57977326.52568393480.45439256969227.41397421665690592

%H R. H. Hardin, <a href="/A284113/b284113.txt">Table of n, a(n) for n = 1..161</a>

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

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

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

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

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

%Y Column 1 is A274160(n+1).

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Mar 20 2017