login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of (n+1)X(4+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order
1

%I #5 Aug 11 2014 22:45:55

%S 12,59,453,3572,30269,259011,2278003,20081717,178468093,1587202009,

%T 14147804875,126135696317,1125282491561,10039469984309,89585462173947,

%U 799412950981660,7133898167065735,63662603102524287,568130626858337409

%N Number of (n+1)X(4+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order

%C Column 4 of A231343

%H R. H. Hardin, <a href="/A231340/b231340.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A231340/a231340.txt">Empirical recurrence of order 97</a>

%F Empirical recurrence of order 97 (see link above)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 07 2013