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A239333 Number of n X 1 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of elements above it, modulo 4. 9

%I #7 Feb 18 2018 08:40:25

%S 2,5,12,28,66,156,368,868,2048,4832,11400,26896,63456,149712,353216,

%T 833344,1966112,4638656,10944000,25820224,60917760,143723520,

%U 339087488,800010496,1887468032,4453111040,10506243072,24787422208,58481066496

%N Number of n X 1 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of elements above it, modulo 4.

%C Column 1 of A239340.

%H R. H. Hardin, <a href="/A239333/b239333.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-3).

%F Empirical g.f.: (2 + x + 2*x^2) / (1 - 2*x - 2*x^3). - _Colin Barker_, Feb 18 2018

%e Some solutions for n=5:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 16 2014

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Last modified April 23 11:04 EDT 2024. Contains 371905 sequences. (Running on oeis4.)