A220070 - OEIS

%I #7 Dec 03 2012 19:28:41

%S 1,2,2,4,6,4,7,19,19,7,12,65,134,65,12,21,222,878,878,222,21,37,776,

%T 5609,10179,5609,776,37,65,2682,36011,122999,122999,36011,2682,65,114,

%U 9310,231343,1493178,2812956,1493178,231343,9310,114,200,32288,1483999

%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 and vertical neighbors in a random 0..1 nXk array

%C Table starts

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

%C ...2......6......19........65........222........776.......2682........9310

%C ...4.....19.....134.......878.......5609......36011.....231343.....1483999

%C ...7.....65.....878.....10179.....122999....1493178...18090893...219096964

%C ..12....222....5609....122999....2812956...64074980.1459489751.33247715499

%C ..21....776...36011...1493178...64074980.2742089334

%C ..37...2682..231343..18090893.1459489751

%C ..65...9310.1483999.219096964

%C .114..32288.9515200

%C .200.112036

%C .351

%H R. H. Hardin, <a href="/A220070/b220070.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 03 2012