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 A253482 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically 9

%I

%S 81,558,558,3888,6804,3888,27000,85464,85280,27000,187704,1069400,

%T 1962374,1066300,187704,1304424,13402934,44878810,44943722,13347930,

%U 1304424,9066168,167888152,1028601406,1878758740,1029772234,166986430

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

%C Table starts

%C ......81.......558........3888.........27000..........187704...........1304424

%C .....558......6804.......85464.......1069400........13402934.........167888152

%C ....3888.....85280.....1962374......44878810......1028601406.......23553719782

%C ...27000...1066300....44943722....1878758740.....78770049974.....3299718630574

%C ..187704..13347930..1029772234...78704951512...6038749847806...462971719837062

%C .1304424.166986430.23584643086.3297669520142.463112610524774.64994605968684110

%H R. H. Hardin, <a href="/A253482/b253482.txt">Table of n, a(n) for n = 1..66</a>

%F Empirical for column k:

%F k=1: a(n) = 3*a(n-1) +24*a(n-2) +24*a(n-3)

%F k=2: [order 88]

%F Empirical for row n:

%F n=1: a(n) = 3*a(n-1) +24*a(n-2) +24*a(n-3)

%F n=2: [order 90] for n>91

%e Some solutions for n=2 k=4

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

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

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

%Y Column 1 and row 1 are A186133

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 02 2015

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Last modified August 17 17:25 EDT 2019. Contains 326059 sequences. (Running on oeis4.)