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A219411 Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 2 X n array. 1

%I #8 Jul 26 2018 05:16:59

%S 1,7,28,98,351,1261,4523,16233,58268,209132,750597,2693993,9669101,

%T 34703683,124556124,447048462,1604516243,5758821685,20669175143,

%U 74184412085,266257698140,955634207080,3429897967721,12310358902801

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

%C Row 2 of A219410.

%H R. H. Hardin, <a href="/A219411/b219411.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) - 3*a(n-2) + 6*a(n-3) - 3*a(n-4) + 4*a(n-5).

%F Empirical g.f.: x*(1 + 3*x + 3*x^2 + x^3 + 4*x^4) / ((1 - x + x^2)*(1 - 3*x - x^2 - 4*x^3)). - _Colin Barker_, Jul 26 2018

%e Some solutions for n=3:

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

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

%Y Cf. A219410.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 19 2012

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)