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A198627 T(n,k)=Number of nXk 0..5 arrays with values 0..5 introduced in row major order and each element equal to at least one horizontal or vertical neighbor 8

%I #5 Mar 31 2012 12:36:34

%S 0,1,1,1,3,1,2,14,14,2,3,76,185,76,3,6,488,3904,3904,488,6,11,3521,

%T 98330,342414,98330,3521,11,23,28009,3003238,38208073,38208073,

%U 3003238,28009,23,47,241590,102181788,5040999127,18048413395,5040999127,102181788

%N T(n,k)=Number of nXk 0..5 arrays with values 0..5 introduced in row major order and each element equal to at least one horizontal or vertical neighbor

%C Table starts

%C ...0.......1..........1............2.............3.............6

%C ...1.......3.........14...........76...........488..........3521

%C ...1......14........185.........3904.........98330.......3003238

%C ...2......76.......3904.......342414......38208073....5040999127

%C ...3.....488......98330.....38208073...18048413395.9630271257812

%C ...6....3521....3003238...5040999127.9630271257812

%C ..11...28009..102181788.713917706692

%C ..23..241590.3756159287

%C ..47.2223711

%C .103

%H R. H. Hardin, <a href="/A198627/b198627.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=6 k=4

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

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

%e ..0..0..0..0....0..0..0..1....0..0..1..1....0..0..1..2....0..0..0..1

%e ..1..2..2..2....1..0..1..1....0..1..1..2....3..1..1..2....1..1..2..1

%e ..1..2..1..0....1..1..2..1....1..1..2..2....3..2..0..0....1..2..2..1

%e ..3..3..1..0....1..1..2..1....1..1..1..2....3..2..0..0....1..1..2..1

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Oct 27 2011

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Last modified September 15 14:41 EDT 2024. Contains 375938 sequences. (Running on oeis4.)