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A229515 Number of n X 2 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..2 array without adjacent equal elements in the latter. 1

%I #8 Apr 27 2021 20:54:49

%S 7,33,129,481,1751,6433,23507,86295,316099,1159635,4251051,15590219,

%T 57163723,209618487,768636943,2818506063,10335115437,37897559703,

%U 138965833325,509570185111,1868532243761,6851675250519,25124255606589

%N Number of n X 2 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..2 array without adjacent equal elements in the latter.

%C Column 2 of A229521.

%H R. H. Hardin, <a href="/A229515/b229515.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=3:

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

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

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

%Y Cf. A229521.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 25 2013

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)