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A196644 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,4,0,2 for x=0,1,2,3,4 1

%I #5 Mar 31 2012 12:36:26

%S 1,41,356,2783,25118,217880,1921822,16668173,146029787,1275692776,

%T 11144916533,97386223456,850945201900,7435399467018,64968547774607,

%U 567683242015249,4960297439355274,43342029653468635,378713657086113296

%N Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,4,0,2 for x=0,1,2,3,4

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

%C Column 6 of A196646

%H R. H. Hardin, <a href="/A196644/b196644.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 4*a(n-1) +30*a(n-2) +96*a(n-3) +108*a(n-4) -488*a(n-5) -1920*a(n-6) +2726*a(n-7) +2921*a(n-8) -12404*a(n-9) +18929*a(n-10) -14229*a(n-11) -19708*a(n-12) +81563*a(n-13) -68602*a(n-14) -24662*a(n-15) +140418*a(n-16) -182142*a(n-17) +110085*a(n-18) -806*a(n-19) -64045*a(n-20) +51183*a(n-21) +4093*a(n-22) -21043*a(n-23) +315*a(n-24) +2438*a(n-25) +544*a(n-26) +385*a(n-27) -331*a(n-28) -78*a(n-29) +82*a(n-30) +26*a(n-31) -2*a(n-32) -a(n-33)

%e Some solutions for n=4

%e ..0..3..0..0..0..0....0..0..0..0..0..0....0..3..0..3..0..0....0..0..3..0..3..0

%e ..3..0..3..3..0..0....0..0..0..3..0..0....0..0..3..0..0..3....0..0..0..3..0..3

%e ..0..0..0..0..0..0....3..0..0..3..0..3....3..0..3..0..0..0....0..0..0..3..0..0

%e ..0..3..0..0..3..0....0..0..0..0..3..0....0..3..0..0..0..0....0..0..3..0..3..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 04 2011

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Last modified September 6 17:59 EDT 2024. Contains 375718 sequences. (Running on oeis4.)