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A219985 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..3 nXk array 7

%I #4 Dec 02 2012 13:33:16

%S 1,2,2,4,11,4,7,42,42,7,12,154,316,154,12,21,582,2344,2344,582,21,37,

%T 2199,17591,34212,17591,2199,37,65,8287,131978,507655,507655,131978,

%U 8287,65,114,31240,989813,7542829,14960307,7542829,989813,31240,114,200

%N T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..3 nXk array

%C Table starts

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

%C ...2......11........42.........154..........582..........2199..........8287

%C ...4......42.......316........2344........17591........131978........989813

%C ...7.....154......2344.......34212.......507655.......7542829.....111990804

%C ..12.....582.....17591......507655.....14960307.....441412699...13011647253

%C ..21....2199....131978.....7542829....441412699...25862914118.1513751822570

%C ..37....8287....989813...111990804..13011647253.1513751822570

%C ..65...31240...7423785..1662706049.383542823910

%C .114..117789..55680172.24686644236

%C .200..444096.417613528

%C .351.1674344

%C .616

%H R. H. Hardin, <a href="/A219985/b219985.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%Y Column 2 is A219100

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 02 2012

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Last modified April 25 14:35 EDT 2024. Contains 371989 sequences. (Running on oeis4.)