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A209098 Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.

%I A209098 #7 Jul 22 2025 21:38:16
%S A209098 122,24256,5171088,1118366188,242632290432,52675800891748,
%T A209098 11437585318270860,2483525516352937680,539268195586029921832,
%U A209098 117095796409143583455428,25425988916932630731090072
%N A209098 Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.
%C A209098 Column 6 of A209100
%H A209098 R. H. Hardin, <a href="/A209098/b209098.txt">Table of n, a(n) for n = 1..210</a>
%F A209098 Empirical: a(n) = 300*a(n-1) -20582*a(n-2) +603924*a(n-3) -9449609*a(n-4) +91922233*a(n-5) -653230134*a(n-6) +4097861625*a(n-7) -24669590390*a(n-8) +130239438691*a(n-9) -543298308924*a(n-10) +1704347583868*a(n-11) -3917246807088*a(n-12) +6481693905844*a(n-13) -8041265672017*a(n-14) +9445340887084*a(n-15) -12785808828112*a(n-16) +12798888267640*a(n-17) -2070180454016*a(n-18) -7015258833920*a(n-19) +3949705789040*a(n-20) +2252604606848*a(n-21) -4177948981504*a(n-22) +3059510444288*a(n-23) -1376634560512*a(n-24) +343950082048*a(n-25) -46623096832*a(n-26) +4254072832*a(n-27) -150994944*a(n-28) for n>30
%e A209098 Some solutions for n=4
%e A209098 ..0..0..0..0..1..0....0..0..1..2..0..2....0..0..0..1..1..2....0..0..1..2..2..2
%e A209098 ..2..2..2..1..2..0....1..0..2..1..2..1....2..1..2..0..1..1....1..0..0..1..0..1
%e A209098 ..1..0..1..0..1..2....2..0..1..2..0..2....2..1..1..0..2..2....0..1..0..1..2..2
%e A209098 ..1..2..1..0..1..2....2..2..0..1..2..1....0..2..1..2..0..2....0..1..0..1..0..2
%K A209098 nonn
%O A209098 1,1
%A A209098 _R. H. Hardin_ Mar 05 2012