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%I #6 Apr 05 2020 20:15:03
%S 1,2,2,3,4,3,6,13,13,6,10,42,62,42,10,19,134,461,461,134,19,33,467,
%T 2872,5888,2872,467,33,62,1689,21790,80072,80072,21790,1689,62,112,
%U 6210,154108,1142173,2179255,1142173,154108,6210,112,212,23178,1174235
%N T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically 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.................33
%C ...2.....4......13.........42...........134.............467...............1689
%C ...3....13......62........461..........2872...........21790.............154108
%C ...6....42.....461.......5888.........80072.........1142173...........16699997
%C ..10...134....2872......80072.......2179255........63520018.........1852406216
%C ..19...467...21790....1142173......63520018......3648835932.......213897742464
%C ..33..1689..154108...16699997....1852406216....213897742464.....25064817057781
%C ..62..6210.1174235..247899694...55270158210..12712253739523...2981736353245523
%C .112.23178.8682209.3717494360.1656400271264.762954434250117.357844048109256955
%H R. H. Hardin, <a href="/A284165/b284165.txt">Table of n, a(n) for n = 1..143</a>
%e Some solutions for n=4, k=4
%e ..0..1..0..1. .0..0..0..1. .0..0..0..1. .0..0..0..1. .0..1..1..0
%e ..0..0..0..1. .1..0..0..1. .0..1..1..1. .0..1..1..1. .1..0..1..0
%e ..1..1..0..1. .1..0..1..1. .0..1..1..1. .0..0..1..1. .0..1..1..0
%e ..0..1..0..1. .0..1..1..1. .0..0..0..1. .1..0..1..1. .0..1..0..1
%Y Column 1 is A274160(n+1).
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Mar 21 2017
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