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A208258 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.

%I A208258 #7 Jul 22 2025 21:15:29
%S A208258 1,2,2,5,12,5,14,96,96,14,41,768,2040,768,41,122,6144,43344,43344,
%T A208258 6144,122,365,49152,920928,2445264,920928,49152,365,1094,393216,
%U A208258 19566912,137947632,137947632,19566912,393216,1094,3281,3145728,415737216
%N A208258 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.
%C A208258 Table starts
%C A208258 ....1.......2..........5.............14................41...................122
%C A208258 ....2......12.........96............768..............6144.................49152
%C A208258 ....5......96.......2040..........43344............920928..............19566912
%C A208258 ...14.....768......43344........2445264.........137947632............7782199824
%C A208258 ...41....6144.....920928......137947632.......20662697664.........3094987890864
%C A208258 ..122...49152...19566912.....7782199824.....3094987890864......1230875651548608
%C A208258 ..365..393216..415737216...439026252912...463586569433280....489518751475118880
%C A208258 .1094.3145728.8833148160.24767296501776.69438884409258336.194681408759751734640
%H A208258 R. H. Hardin, <a href="/A208258/b208258.txt">Table of n, a(n) for n = 1..364</a>
%e A208258 Some solutions for n=4 k=3
%e A208258 ..0..0..0....0..1..0....0..0..0....0..1..2....0..0..1....0..0..1....0..0..1
%e A208258 ..1..1..1....2..1..2....0..1..2....1..2..1....2..0..2....0..1..2....2..0..2
%e A208258 ..1..0..0....2..1..1....2..2..1....0..1..2....1..0..2....1..2..0....2..0..2
%e A208258 ..1..2..2....0..1..2....2..1..2....2..1..2....1..2..1....0..0..1....2..0..1
%Y A208258 Column 1 is A007051(n-1)
%Y A208258 Column 2 is A204623(n-1)
%K A208258 nonn,tabl
%O A208258 1,2
%A A208258 _R. H. Hardin_ Feb 24 2012