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A202658 Number of -2..2 arrays of n elements with first through fourth differences also in -2..2 1

%I #6 Mar 31 2012 12:36:50

%S 5,19,57,127,213,363,613,1055,1815,3159,5503,9609,16773,29281,51125,

%T 89277,155899,272315,475793,831415,1452927,2539213,4437877,7756367,

%U 13556573,23694815,41415935,72391801,126536987,221182305,386622379

%N Number of -2..2 arrays of n elements with first through fourth differences also in -2..2

%C Column 2 of A202664

%H R. H. Hardin, <a href="/A202658/b202658.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-3) +2*a(n-4) -a(n-5) -2*a(n-7) -a(n-8) -4*a(n-10) -7*a(n-11) -10*a(n-12) -7*a(n-13) -6*a(n-14) -a(n-15) +6*a(n-16) +9*a(n-17) +8*a(n-18) +6*a(n-19) +4*a(n-20) +2*a(n-21) for n>27

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 22 2011

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Last modified April 24 17:20 EDT 2024. Contains 371962 sequences. (Running on oeis4.)