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%I #4 Dec 26 2014 12:59:26
%S 130,341,341,928,540,928,2638,998,998,2638,7608,1866,1750,1866,7608,
%T 22304,3894,3119,3119,3894,22304,65765,8340,6086,5860,6086,8340,65765,
%U 195277,18180,12641,11904,11904,12641,18180,195277,582025,40264,25184
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order
%C Table starts
%C .....130....341....928...2638....7608...22304...65765...195277...582025
%C .....341....540....998...1866....3894....8340...18180....40264....89212
%C .....928....998...1750...3119....6086...12641...25184....54251...111467
%C ....2638...1866...3119...5860...11904...24232...51292...106308...220782
%C ....7608...3894...6086..11904...25601...53312..116466...250443...537330
%C ...22304...8340..12641..24232...53312..115438..262728...567781..1244649
%C ...65765..18180..25184..51292..116466..262728..620736..1399406..3180688
%C ..195277..40264..54251.106308..250443..567781.1399406..3167807..7302278
%C ..582025..89212.111467.220782..537330.1244649.3180688..7302278.17606301
%C .1739571.198458.239582.459446.1142134.2698327.7274744.16597478.41168334
%H R. H. Hardin, <a href="/A253044/b253044.txt">Table of n, a(n) for n = 1..309</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 34] for n>35
%F k=2: [order 57] for n>61
%F k=3: [order 78] for n>80
%F k=4: [order 82] for n>86
%e Some solutions for n=3 k=4
%e ..0..1..1..0..0..2....0..1..1..2..2..0....0..0..1..1..2..2....0..1..1..2..1..2
%e ..2..0..2..0..0..1....1..2..1..1..0..1....1..2..1..1..0..0....2..0..2..2..1..1
%e ..0..0..2..2..1..2....1..1..2..2..0..0....1..2..2..0..2..0....0..0..1..1..2..2
%e ..0..2..0..0..1..1....3..2..2..1..2..1....2..1..1..0..0..1....0..2..2..1..2..1
%e ..3..0..0..2..0..2....3..1..1..2..2..1....1..1..2..1..2..1....1..2..2..0..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 26 2014
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