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A222277 Number of n X 4 0..5 arrays with no entry increasing mod 6 by 5 rightwards or downwards, starting with upper left zero. 2

%I #7 Mar 14 2018 15:16:44

%S 125,46305,17153945,6354787485,2354171487645,872117822449905,

%T 323081602357856985,119687637492011211885,44339047670574481807485,

%U 16425682631297501047982145,6084998755694142903356375385

%N Number of n X 4 0..5 arrays with no entry increasing mod 6 by 5 rightwards or downwards, starting with upper left zero.

%C Column 4 of A222281.

%H R. H. Hardin, <a href="/A222277/b222277.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 399*a(n-1) - 10749*a(n-2) + 64767*a(n-3).

%F Empirical g.f.: 5*x*(25 - 714*x + 4375*x^2) / (1 - 399*x + 10749*x^2 - 64767*x^3). - _Colin Barker_, Mar 14 2018

%e Some solutions for n=3:

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

%e ..4..1..3..0....0..0..3..0....2..0..0..2....1..3..0..2....2..0..0..0

%e ..2..3..4..1....4..1..1..3....0..2..2..0....2..5..1..5....3..4..0..2

%Y Cf. A222281.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2013

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Last modified August 5 02:37 EDT 2024. Contains 374935 sequences. (Running on oeis4.)