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A240428 Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. 1

%I #10 Oct 27 2018 12:51:46

%S 2,6,24,58,236,566,2322,5578,22912,55054,226148,543394,2232094,

%T 5363294,22030696,52935498,217442092,522471270,2146144946,5156771098,

%U 21182367216,50897130430,209069141604,502352700210,2063504305918,4958201635918

%N Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.

%H R. H. Hardin, <a href="/A240428/b240428.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-2) - 24*a(n-4) + 31*a(n-6) - 16*a(n-8).

%F Empirical g.f.: 2*x*(1 - x)*(1 + 4*x + 4*x^2 - 3*x^3 - 5*x^4 + 2*x^5 + 4*x^6) / (1 - 12*x^2 + 24*x^4 - 31*x^6 + 16*x^8). - _Colin Barker_, Oct 27 2018

%e Some solutions for n=4:

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

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

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

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

%Y Column 2 of A240433.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014

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Last modified August 4 08:44 EDT 2024. Contains 374906 sequences. (Running on oeis4.)