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A208201 T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors 8

%I

%S 1,2,2,5,14,5,15,178,178,15,51,2653,10366,2653,51,187,41272,639701,

%T 639701,41272,187,715,648569,39725054,156617480,39725054,648569,715,

%U 2795,10215440,2468504665,38372808893,38372808893,2468504665,10215440,2795

%N T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors

%C Table starts

%C ....1.........2.............5.................15......................51

%C ....2........14...........178...............2653...................41272

%C ....5.......178.........10366.............639701................39725054

%C ...15......2653........639701..........156617480.............38372808893

%C ...51.....41272......39725054........38372808893..........37069738362057

%C ..187....648569....2468504665......9402035642924.......35810971705853725

%C ..715..10215440..153402542384...2303673397508915....34594950233928279876

%C .2795.160984657.9533100532733.564442821781056268.33420220819293699707599

%H R. H. Hardin, <a href="/A208201/b208201.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A007581(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 24 2012

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Last modified October 6 15:48 EDT 2022. Contains 357269 sequences. (Running on oeis4.)