cp's OEIS Frontend

A199655 T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.

%I A199655 #7 Jun 07 2021 14:27:42
%S A199655 1,2,2,5,14,5,14,113,113,14,41,953,2584,953,41,122,8037,59212,59212,
%T A199655 8037,122,365,67774,1357484,3695683,1357484,67774,365,1094,571530,
%U A199655 31120632,230693158,230693158,31120632,571530,1094,3281,4819638,713445976
%N A199655 T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
%C A199655 Table starts
%C A199655 ....1.........2.............5.................14.....................41
%C A199655 ....2........14...........113................953...................8037
%C A199655 ....5.......113..........2584..............59212................1357484
%C A199655 ...14.......953.........59212............3695683..............230693158
%C A199655 ...41......8037.......1357484..........230693158............39209840355
%C A199655 ..122.....67774......31120632........14399942873..........6663970316970
%C A199655 ..365....571530.....713445976.......898852775335.......1132589231853096
%C A199655 .1094...4819638...16355879648.....56106912155198.....192491652879392515
%C A199655 .3281..40643380..374961537040...3502225890582058...32715334199617664326
%C A199655 .9842.342740340.8596061907680.218610965399514236.5560205218374521415185
%H A199655 R. H. Hardin, <a href="/A199655/b199655.txt">Table of n, a(n) for n = 1..143</a>
%e A199655 Some solutions for n=5, k=3
%e A199655 ..0..0..0....0..0..0....0..1..0....0..1..0....0..0..0....0..1..0....0..1..0
%e A199655 ..0..1..0....0..1..0....0..0..2....0..0..2....0..1..0....0..1..1....0..0..2
%e A199655 ..1..1..2....2..0..2....1..1..2....2..2..1....0..0..0....0..2..2....2..1..2
%e A199655 ..1..2..0....0..1..0....2..1..1....1..2..1....1..1..2....2..0..1....0..2..1
%e A199655 ..2..1..2....0..2..2....2..0..2....2..0..2....2..0..1....1..0..2....2..1..0
%Y A199655 Column 1 is A007051(n-1).
%K A199655 nonn,tabl
%O A199655 1,2
%A A199655 _R. H. Hardin_ Nov 08 2011