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A203443 T(n,k)=Number of nXk 0..7 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors 8

%I #5 Mar 31 2012 12:36:56

%S 1,1,1,1,8,1,1,64,64,1,1,372,4124,372,1,1,2528,142108,142108,2528,1,1,

%T 21988,4401184,24278164,4401184,21988,1,1,186348,168492336,3216740482,

%U 3216740482,168492336,186348,1,1,1484834,6975234574,482229769194

%N T(n,k)=Number of nXk 0..7 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors

%C Table starts

%C .1.......1............1..............1................1................1

%C .1.......8...........64............372.............2528............21988

%C .1......64.........4124.........142108..........4401184........168492336

%C .1.....372.......142108.......24278164.......3216740482.....482229769194

%C .1....2528......4401184.....3216740482....1842430382222.1163067191357930

%C .1...21988....168492336...482229769194.1163067191357930

%C .1..186348...6975234574.79772073060022

%C .1.1484834.276131799334

%H R. H. Hardin, <a href="/A203443/b203443.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=5 k=3

%e ..4..5..5....5..5..3....4..4..4....7..7..2....6..6..0....2..4..4....3..3..0

%e ..4..7..7....5..5..3....7..7..6....7..7..5....6..7..7....2..4..4....3..4..4

%e ..4..7..7....4..2..1....7..7..7....0..7..5....7..7..7....7..7..7....1..7..7

%e ..2..6..6....4..4..1....4..7..7....3..7..7....7..3..7....7..6..7....0..7..7

%e ..0..6..6....4..4..0....3..3..0....3..7..7....7..7..7....7..7..7....0..1..1

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 01 2012

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Last modified February 29 21:35 EST 2024. Contains 370428 sequences. (Running on oeis4.)