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A234762 Number of (n+1) X (1+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both. 1

%I #8 Oct 16 2018 05:41:50

%S 56,240,916,3800,14828,60552,239044,967784,3845148,15493000,61775668,

%T 248247480,991807292,3979719864,15917452772,63817779896,255404741740,

%U 1023525137992,4097640224516,16416968389544,65737110052316

%N Number of (n+1) X (1+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both.

%H R. H. Hardin, <a href="/A234762/b234762.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 14*a(n-2) - a(n-3) - 25*a(n-4) - 10*a(n-5).

%F Empirical g.f.: 4*x*(14 + 46*x - 27*x^2 - 105*x^3 - 39*x^4) / (1 - x - 14*x^2 + x^3 + 25*x^4 + 10*x^5). - _Colin Barker_, Oct 16 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 1 of A234769.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2013

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Last modified July 23 09:37 EDT 2024. Contains 374547 sequences. (Running on oeis4.)