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A240418 Number of nX2 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4 1

%I #5 Apr 04 2014 18:30:47

%S 7,35,147,553,2045,7439,27099,98193,356367,1290555,4678201,16941465,

%T 61383669,222305205,805315687,2916643869,10564820487,38264178015,

%U 138597036507,501986131233,1818215357263,6585476407465,23852672493721

%N Number of nX2 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4

%C Column 2 of A240422

%H R. H. Hardin, <a href="/A240418/b240418.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +4*a(n-2) -46*a(n-3) +28*a(n-4) +101*a(n-5) -71*a(n-6) -93*a(n-7) -4*a(n-8) +94*a(n-9) +65*a(n-10) -115*a(n-11) -13*a(n-12) +70*a(n-13) -8*a(n-14) -16*a(n-15)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)