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A218838 Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 n X 4 array. 2

%I #8 Mar 10 2018 07:15:19

%S 7,57,453,3617,28888,230726,1842766,14717828,117548611,938839259,

%T 7498337380,59887849061,478313295496,3820200795065,30511244937310,

%U 243687732023270,1946289338913085,15544656923507264,124152331330394548

%N Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 n X 4 array.

%C Column 4 of A218842.

%H R. H. Hardin, <a href="/A218838/b218838.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) + 5*a(n-2) + 24*a(n-3) - 9*a(n-4) + 9*a(n-5) for n>6.

%F Empirical g.f.: x*(7 + 8*x + 19*x^2 - 7*x^3 - x^4 + 3*x^5) / (1 - 7*x - 5*x^2 - 24*x^3 + 9*x^4 - 9*x^5). - _Colin Barker_, Mar 10 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A218842.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 07 2012

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)