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A207984 Number of nX3 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically 1

%I #5 Mar 31 2012 12:37:20

%S 25,625,12468,244325,4827482,95527856,1889730415,37378616643,

%T 739356161720,14624722337624,289281704602147,5722081129193560,

%U 113184543292907805,2238825594019420023,44284668170957511026

%N Number of nX3 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically

%C Column 3 of A207989

%H R. H. Hardin, <a href="/A207984/b207984.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 19*a(n-1) -82*a(n-2) +1805*a(n-3) +220*a(n-4) +37871*a(n-5) +129800*a(n-6) -405005*a(n-7) +1172158*a(n-8) -6167316*a(n-9) -43541834*a(n-10) +69300150*a(n-11) +55466198*a(n-12) -255109849*a(n-13) +3952679917*a(n-14) +2475383625*a(n-15) -32889586196*a(n-16) -23614518648*a(n-17) +104745099284*a(n-18) +94890799808*a(n-19) -103200497427*a(n-20) -139161370343*a(n-21) -182731979141*a(n-22) -90465024043*a(n-23) +437487172472*a(n-24) +434721978924*a(n-25) +49576922630*a(n-26) -130621709988*a(n-27) -631546486515*a(n-28) -525937727288*a(n-29) +61389004142*a(n-30) +236882586444*a(n-31) +527121385584*a(n-32) +386245192022*a(n-33) +8869421132*a(n-34) -116274513050*a(n-35) -257296296124*a(n-36) -186082116614*a(n-37) -68790374049*a(n-38) +112956022*a(n-39) +45338030679*a(n-40) +44581181721*a(n-41) +21926766670*a(n-42) +10110542117*a(n-43) -2733155250*a(n-44) -3935285362*a(n-45) -3715462652*a(n-46) -2045132864*a(n-47) -803304695*a(n-48) -153906529*a(n-49) +38294902*a(n-50) +105081309*a(n-51) +51670795*a(n-52) +37874190*a(n-53) +11725070*a(n-54) +6420274*a(n-55) +1438607*a(n-56) +659455*a(n-57) +105682*a(n-58) +42329*a(n-59) +4407*a(n-60) +1587*a(n-61) +81*a(n-62) +27*a(n-63)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 22 2012

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)