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A209371 Number of nX5 1..3 arrays with no element with value z exactly a city block distance of z from another element with value z 1

%I #5 Mar 31 2012 12:37:28

%S 64,178,690,3698,19434,99458,510378,2622050,13507474,69549218,

%T 357584194,1839211250,9464568582,48696339042,250509806670,

%U 1288779804242,6630621737430,34113122683362,175501749819570,902909367872738

%N Number of nX5 1..3 arrays with no element with value z exactly a city block distance of z from another element with value z

%C Column 5 of A209374

%H R. H. Hardin, <a href="/A209371/b209371.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +35*a(n-3) +85*a(n-4) +99*a(n-5) +163*a(n-6) +149*a(n-7) +573*a(n-8) -641*a(n-9) -3453*a(n-10) +1807*a(n-11) +10816*a(n-12) +2900*a(n-13) -7862*a(n-14) -5427*a(n-15) +2707*a(n-16) +6158*a(n-17) +6821*a(n-18) +3904*a(n-19) +6005*a(n-20) -777*a(n-21) -2314*a(n-22) -3245*a(n-23) -2119*a(n-24) -163*a(n-25) -1022*a(n-26) +136*a(n-27) -431*a(n-28) -46*a(n-29) -91*a(n-30) +33*a(n-31) -14*a(n-32) +9*a(n-33) -2*a(n-35) +a(n-36) for n>38

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 07 2012

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Last modified May 10 19:29 EDT 2024. Contains 372388 sequences. (Running on oeis4.)