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A228457 Number of arrays of maxima of three adjacent elements of some length n+2 0..4 array. 1

%I #8 Sep 01 2013 18:28:17

%S 5,25,95,295,821,2227,6254,18394,55285,165563,489488,1433536,4188613,

%T 12268735,36052642,106118146,312319987,918413167,2698818913,

%U 7929048609,23298823959,68477103061,201284983126,591668573686,1739085580405

%N Number of arrays of maxima of three adjacent elements of some length n+2 0..4 array.

%C Column 4 of A228461

%H R. H. Hardin, <a href="/A228457/b228457.txt">Table of n, a(n) for n = 1..191</a>

%F Empirical: a(n) = 5*a(n-1) -10*a(n-2) +10*a(n-3) +5*a(n-4) -9*a(n-5) +20*a(n-6) +8*a(n-7) +2*a(n-8) +14*a(n-9) +6*a(n-10) +2*a(n-11) +3*a(n-12) +a(n-13)

%e Some solutions for n=4

%e ..4....3....2....2....4....3....4....3....4....4....4....3....4....3....1....4

%e ..4....3....1....2....3....3....2....3....4....1....3....1....0....0....0....3

%e ..4....1....2....0....3....0....0....0....2....0....1....1....4....2....4....3

%e ..4....2....4....0....0....3....4....0....0....1....4....0....4....3....4....2

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 22 2013

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Last modified July 26 19:11 EDT 2024. Contains 374636 sequences. (Running on oeis4.)