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A206396 T(n,k)=Number of nXk 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.

%I A206396 #7 Jul 22 2025 19:26:59
%S A206396 1,1,1,1,1,1,2,4,4,2,5,25,26,25,5,15,172,206,206,172,15,51,1201,1592,
%T A206396 1931,1592,1201,51,187,8404,12428,16784,16784,12428,8404,187,715,
%U A206396 58825,96632,151630,170796,151630,96632,58825,715,2795,411772,752552,1343560
%N A206396 T(n,k)=Number of nXk 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.
%C A206396 Table starts
%C A206396 ...1.....1......1........2.........5.........15..........51..........187
%C A206396 ...1.....1......4.......25.......172.......1201........8404........58825
%C A206396 ...1.....4.....26......206......1592......12428.......96632.......752552
%C A206396 ...2....25....206.....1931.....16784.....151630.....1343560.....12046648
%C A206396 ...5...172...1592....16784....170796....1787258....18574298....193499878
%C A206396 ..15..1201..12428...151630...1787258...21983256...268956972...3301485294
%C A206396 ..51..8404..96632..1343560..18574298..268956972..3889732730..56960076094
%C A206396 .187.58825.752552.12046648.193499878.3301485294.56960076094.998388746378
%H A206396 R. H. Hardin, <a href="/A206396/b206396.txt">Table of n, a(n) for n = 1..127</a>
%e A206396 Some solutions for n=4 k=3
%e A206396 ..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
%e A206396 ..2..3..0....2..3..4....2..3..4....3..4..5....3..4..5....2..3..0....2..3..4
%e A206396 ..1..4..5....1..0..5....4..5..1....5..0..1....1..0..3....4..5..1....1..5..0
%e A206396 ..0..2..1....3..2..1....1..2..0....4..3..2....2..5..1....0..2..3....0..2..3
%Y A206396 Column 1 is A007581(n-3)
%Y A206396 Column 2 is A034494(n-2)
%K A206396 nonn,tabl
%O A206396 1,7
%A A206396 _R. H. Hardin_ Feb 07 2012