cp's OEIS Frontend

A222020 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without move-in move-out straight through or left turns.

%I A222020 #6 Jul 23 2025 02:23:04
%S A222020 1,3,3,6,27,6,13,188,188,13,28,1363,3875,1363,28,60,9838,86088,86088,
%T A222020 9838,60,129,70994,1892859,5925053,1892859,70994,129,277,512456,
%U A222020 41636522,403317044,403317044,41636522,512456,277,595,3698699,916164266
%N A222020 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without move-in move-out straight through or left turns.
%C A222020 Table starts
%C A222020 ....1..........3.............6...............13.................28
%C A222020 ....3.........27...........188.............1363...............9838
%C A222020 ....6........188..........3875............86088............1892859
%C A222020 ...13.......1363.........86088..........5925053..........403317044
%C A222020 ...28.......9838.......1892859........403317044........84799061141
%C A222020 ...60......70994......41636522......27460842224.....17838051289367
%C A222020 ..129.....512456.....916164266....1870475750419...3753835631741568
%C A222020 ..277....3698699...20156123913..127385479747138.789821887272883642
%C A222020 ..595...26696370..443464985963.8675741759311142
%C A222020 .1278..192687348.9756801621038
%C A222020 .2745.1390767557
%C A222020 .5896
%H A222020 R. H. Hardin, <a href="/A222020/b222020.txt">Table of n, a(n) for n = 1..84</a>
%e A222020 Some solutions for n=3 k=4
%e A222020 ..0..1..1..0....0..1..3..0....0..0..1..1....2..1..0..2....1..1..1..2
%e A222020 ..1..2..1..3....0..3..0..0....2..2..0..0....1..0..3..0....0..1..2..0
%e A222020 ..2..0..0..1....0..2..2..1....1..1..2..2....0..2..1..0....2..0..0..2
%Y A222020 Column 1 is A002478
%K A222020 nonn,tabl
%O A222020 1,2
%A A222020 _R. H. Hardin_ Feb 05 2013