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 A198532 T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly one horizontal or vertical neighbor 4

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

%S 2,12,12,76,206,76,492,3838,3838,492,3212,74582,213328,74582,3212,

%T 21036,1481214,12510524,12510524,1481214,21036,137932,29737425,

%U 757941274,2223874372,757941274,29737425,137932,904812,600187403,46796529288

%N T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly one horizontal or vertical neighbor

%C Table starts

%C ......2........12..........76..........492.........3212..........21036

%C .....12.......206........3838........74582......1481214.......29737425

%C .....76......3838......213328.....12510524....757941274....46796529288

%C ....492.....74582....12510524...2223874372.411119156729.77956630302044

%C ...3212...1481214...757941274.411119156729

%C ..21036..29737425.46796529288

%C .137932.600187403

%C .904812

%H R. H. Hardin, <a href="/A198532/b198532.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=5 k=3

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

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

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

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

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

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

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

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

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

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

%Y Column 1 is A198474

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 26 2011

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Last modified August 10 14:52 EDT 2024. Contains 375056 sequences. (Running on oeis4.)