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A239812 Number of n X 1 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4. 4

%I #7 Feb 21 2018 09:42:15

%S 2,5,11,25,57,129,293,665,1509,3425,7773,17641,40037,90865,206221,

%T 468025,1062197,2410689,5471133,12416905,28180549,63956625,145151533,

%U 329425881,747642197,1696797025,3850933181,8739811625,19835272037,45016761649

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

%C Column 1 of A239819.

%H R. H. Hardin, <a href="/A239812/b239812.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: x*(2 + 3*x + 2*x^2) / (1 - x - 2*x^2 - 2*x^3). - _Colin Barker_, Feb 21 2018

%e Some solutions for n=5:

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

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

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

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

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

%Y Cf. A239819.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2014

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Last modified April 16 07:08 EDT 2024. Contains 371698 sequences. (Running on oeis4.)