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A220993 T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 nXk array 6

%I #4 Dec 28 2012 10:56:00

%S 1,2,1,4,10,1,7,44,35,1,12,168,324,132,1,21,642,2899,2456,497,1,37,

%T 2463,23895,48800,18606,1881,1,65,9454,193052,826251,781249,141464,

%U 7102,1,114,36363,1550909,13696660,26731299,12552490,1073265,26812,1,200,139880

%N T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 nXk array

%C Table starts

%C .1.....2.......4........7.......12.......21........37.......65....114.200

%C .1....10......44......168......642.....2463......9454....36363.139880

%C .1....35.....324.....2899....23895...193052...1550909.12392103

%C .1...132....2456....48800...826251.13696660.222785284

%C .1...497...18606...781249.26731299

%C .1..1881..141464.12552490

%C .1..7102.1073265

%C .1.26812

%C .1

%H R. H. Hardin, <a href="/A220993/b220993.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A220255

%Y Column 3 is A220920

%Y Row 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 28 2012

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)