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A246473 Number of length n+3 0..2 arrays with no pair in any consecutive four terms totalling exactly 2. 2

%I #8 Mar 19 2018 12:39:10

%S 10,14,20,28,38,52,72,100,138,190,262,362,500,690,952,1314,1814,2504,

%T 3456,4770,6584,9088,12544,17314,23898,32986,45530,62844,86742,119728,

%U 165258,228102,314844,434572,599830,827932,1142776,1577348,2177178

%N Number of length n+3 0..2 arrays with no pair in any consecutive four terms totalling exactly 2.

%C Column 2 of A246479.

%H R. H. Hardin, <a href="/A246473/b246473.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: 2*x*(5 + 2*x + 3*x^2 + 4*x^3) / (1 - x - x^4). - _Colin Barker_, Mar 19 2018

%e Some solutions for n=6:

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

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

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

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

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

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

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

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

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

%Y Cf. A246479.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 27 2014

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Last modified September 16 04:06 EDT 2024. Contains 375959 sequences. (Running on oeis4.)