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A232588 Number of (n+1)X(7+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal 1

%I

%S 90,744,7568,68072,595304,5045772,41969054,344123498,2791211292,

%T 22459482618,179631450494,1430206865644,11348368440492,89814921458080,

%U 709441275635178,5595533382083776,44083691591740368,347010348931531478

%N Number of (n+1)X(7+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal

%C Column 7 of A232589

%H R. H. Hardin, <a href="/A232588/b232588.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -77*a(n-2) -313*a(n-3) +2732*a(n-4) +249*a(n-5) -38061*a(n-6) +45840*a(n-7) +279302*a(n-8) -581228*a(n-9) -1117174*a(n-10) +3446483*a(n-11) +2380630*a(n-12) -11930318*a(n-13) -2781301*a(n-14) +27732967*a(n-15) +2834911*a(n-16) -47611218*a(n-17) -7266202*a(n-18) +62440319*a(n-19) +19473699*a(n-20) -60093400*a(n-21) -33402804*a(n-22) +37057039*a(n-23) +35703040*a(n-24) -8358339*a(n-25) -21730512*a(n-26) -5474419*a(n-27) +5391258*a(n-28) +3352312*a(n-29) +132351*a(n-30) -68518*a(n-31) +77270*a(n-32) +18709*a(n-33) +120066*a(n-34) +164226*a(n-35) +66593*a(n-36) -37343*a(n-37) -45515*a(n-38) -8483*a(n-39) +5811*a(n-40) +2451*a(n-41) -34*a(n-42) -135*a(n-43) -16*a(n-44) for n>45

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2013

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Last modified June 27 04:32 EDT 2022. Contains 354888 sequences. (Running on oeis4.)