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Number of 2n X 4 0..4 arrays with values 0..4 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors.
1

%I #11 Oct 29 2022 15:08:41

%S 17,7376,5724014,4685798318,3879729611186,3222491533589620,

%T 2679021244608145508,2227788819914832219768,1852697804471510467351558,

%U 1540794008599547700761105406,1281407594160466806617993848394

%N Number of 2n X 4 0..4 arrays with values 0..4 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors.

%C Column 2 of A198534.

%H R. H. Hardin, <a href="/A198533/b198533.txt">Table of n, a(n) for n = 1..88</a>

%e Some solutions for n=2:

%e ..0..1..2..1....0..1..2..1....0..1..2..2....0..0..1..1....0..1..0..0

%e ..0..1..2..1....0..1..2..1....0..1..3..3....1..1..0..0....0..1..2..2

%e ..3..3..4..0....3..3..0..0....1..2..4..4....0..2..3..3....3..3..0..3

%e ..1..1..4..0....2..2..3..3....1..2..3..3....0..2..4..4....4..4..0..3

%Y Cf. A198534.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 26 2011