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 A248484 Number of length n+5 0..3 arrays with some three disjoint pairs in each consecutive six terms having the same sum. 1

%I

%S 724,844,988,1156,1348,1564,1804,2284,2860,3532,4300,5164,6124,8044,

%T 10348,13036,16108,19564,23404,31084,40300,51052,63340,77164,92524,

%U 123244,160108,203116,252268,307564,369004,491884,639340,811372,1007980

%N Number of length n+5 0..3 arrays with some three disjoint pairs in each consecutive six terms having the same sum.

%H R. H. Hardin, <a href="/A248484/b248484.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 4*a(n-6) - 4*a(n-7).

%F Empirical g.f.: 4*x*(181 + 30*x + 36*x^2 + 42*x^3 + 48*x^4 + 54*x^5 - 664*x^6) / ((1 - x)*(1 - 2*x^3)*(1 + 2*x^3)). - _Colin Barker_, Nov 08 2018

%e Some solutions for n=6:

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

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

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

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

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

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

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

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

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

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

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

%Y Column 3 of A248489.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 07 2014

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Last modified August 10 00:32 EDT 2022. Contains 356026 sequences. (Running on oeis4.)