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A185564 1/4 the number of nX6 0..3 arrays with no element equal both to the element above and to the element to its left 1

%I #5 Mar 31 2012 12:36:02

%S 1024,3037500,8977824540,26533211918040,78416544382742160,

%T 231753101877188629380,684925618712729136913980,

%U 2024236566241727245692157080,5982450596328307878990974438640

%N 1/4 the number of nX6 0..3 arrays with no element equal both to the element above and to the element to its left

%C Column 6 of A185567

%H R. H. Hardin, <a href="/A185564/b185564.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=3176*a(n-1)-673550*a(n-2)+65136330*a(n-3)-3727689126*a(n-4)+139845804688*a(n-5)-3603160371660*a(n-6)+64834978133874*a(n-7)-810096692648238*a(n-8)+6824155175157060*a(n-9)-36345608355460626*a(n-10)+107463532615201134*a(n-11)-134880780658290660*a(n-12)+77768725332170250*a(n-13)-12154766339477250*a(n-14)-11593534218480000*a(n-15)+6932136333037500*a(n-16)-1023032228765625*a(n-17)

%e Some solutions for 3X6 with a(1,1)=0

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 31 2011

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Last modified April 23 09:48 EDT 2024. Contains 371905 sequences. (Running on oeis4.)