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A222479 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order.

%I A222479 #6 Jul 23 2025 02:37:53
%S A222479 1,1,1,1,1,1,4,1,1,4,5,10,5,10,5,14,11,42,42,11,14,17,126,45,235,45,
%T A222479 126,17,75,139,1582,1450,1450,1582,139,75,95,2033,2953,30883,11994,
%U A222479 30883,2953,2033,95,411,2229,104833,267772,574388,574388,267772,104833,2229
%N A222479 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order.
%C A222479 Table starts
%C A222479 ....1......1.........1............4...............5...............14
%C A222479 ....1......1.........1...........10..............11..............126
%C A222479 ....1......1.........5...........42..............45.............1582
%C A222479 ....4.....10........42..........235............1450............30883
%C A222479 ....5.....11........45.........1450...........11994...........574388
%C A222479 ...14....126......1582........30883..........574388.........18213127
%C A222479 ...17....139......2953.......267772.........4927416........544804117
%C A222479 ...75...2033....104833......7073732.......482530769......39402895960
%C A222479 ...95...2229....179105.....67911068......4741171798....1636155043302
%C A222479 ..411..36255...6910335...1835377464....481046300094..146686792732538
%C A222479 ..519..39685..12297363..17762404598...4838816683797.6439927626021526
%C A222479 .2522.667198.463356818.478005487727.496656128182183
%H A222479 R. H. Hardin, <a href="/A222479/b222479.txt">Table of n, a(n) for n = 1..143</a>
%e A222479 Some solutions for n=4 k=4
%e A222479 ..0..1..1..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..1
%e A222479 ..1..1..1..1....0..0..0..2....0..0..0..2....0..0..0..0....0..0..0..1
%e A222479 ..2..1..1..1....0..0..0..0....0..0..0..2....0..0..0..0....0..0..0..2
%e A222479 ..0..1..1..1....0..0..0..2....0..0..0..1....1..1..0..1....0..0..0..0
%Y A222479 Column 1 is A222372
%K A222479 nonn,tabl
%O A222479 1,7
%A A222479 _R. H. Hardin_ Feb 21 2013