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A197359 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,1,1,1 for x=0,1,2,3,4 1

%I

%S 1,9,33,113,593,2435,10317,45615,195093,841571,3646693,15718319,

%T 67872219,293228491,1265855985,5466238427,23604968149,101924529475,

%U 440126714041,1900525775017,8206607484875,35437081228013,153021248588503

%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,1,1,1 for x=0,1,2,3,4

%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's

%C Column 3 of A197364

%H R. H. Hardin, <a href="/A197359/b197359.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +24*a(n-3) +75*a(n-4) +159*a(n-5) +275*a(n-6) -16*a(n-7) +201*a(n-8) -431*a(n-9) -1831*a(n-10) -1919*a(n-11) -7217*a(n-12) -7968*a(n-13) -10020*a(n-14) +68*a(n-15) +19396*a(n-16) +29136*a(n-17) +19536*a(n-18) -12960*a(n-19) -2592*a(n-20)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 14 2011

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Last modified May 23 04:06 EDT 2022. Contains 353959 sequences. (Running on oeis4.)