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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 1

%I #5 Mar 31 2012 12:37:26

%S 122,24256,5171088,1118366188,242632290432,52675800891748,

%T 11437585318270860,2483525516352937680,539268195586029921832,

%U 117095796409143583455428,25425988916932630731090072

%N 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 Column 6 of A209100

%H R. H. Hardin, <a href="/A209098/b209098.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=4

%e ..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 ..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 ..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 ..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 nonn

%O 1,1

%A _R. H. Hardin_ Mar 05 2012

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Last modified February 26 22:44 EST 2024. Contains 370354 sequences. (Running on oeis4.)