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A248062 Number of length n+5 0..2 arrays with some disjoint triples in each consecutive six terms having the same sum. 1

%I

%S 333,513,793,1221,1861,2793,4113,6753,10945,17457,27313,41793,62433,

%T 103713,169633,272481,428641,658593,986913,1643553,2693665,4333857,

%U 6826273,10498593,15744033,26234913,43018273,69239841,109093921

%N Number of length n+5 0..2 arrays with some disjoint triples in each consecutive six terms having the same sum.

%H R. H. Hardin, <a href="/A248062/b248062.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 20*a(n-6) - 20*a(n-7) - 64*a(n-12) + 64*a(n-13).

%F Empirical g.f.: x*(333 + 180*x + 280*x^2 + 428*x^3 + 640*x^4 + 932*x^5 - 5340*x^6 - 960*x^7 - 1408*x^8 - 2048*x^9 - 2944*x^10 - 4160*x^11 + 15552*x^12) / ((1 - x)*(1 - 2*x^3)*(1 + 2*x^3)*(1 - 4*x^3)*(1 + 4*x^3)). - _Colin Barker_, Nov 08 2018

%e Some solutions for n=6:

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

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

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

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

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

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

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

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

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

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

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

%Y Column 2 of A248068.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 30 2014

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Last modified May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)