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A212040 Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element within a city block distance of two, and containing the value n(n+1)/2-3 0

%I #4 Dec 18 2015 18:18:10

%S 0,1,5,119,1310,7849,32696,107400,298404,731960,1630174,3361016,

%T 6505445,11945114,20974435,35441099,57919461,91921515,142150499,

%U 214802485,317921624,461815031

%N Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element within a city block distance of two, and containing the value n(n+1)/2-3

%C Column 2 of A212044

%F Empirical: a(n) = (1/128)*n^8 + (1/32)*n^7 - (77/192)*n^6 - (3/16)*n^5 + (977/128)*n^4 - (1885/96)*n^3 + (1129/96)*n^2 + (355/24)*n - 15 for n>1

%e Some solutions for n=4

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

%e ..1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2

%e ..3.4.5....3.0.4....3.4.5....3.4.5....3.4.5....3.4.1....3.4.1....3.4.5

%e ..6.0.7.1..5.6.7.3..6.1.7.4..5.0.6.7..6.0.7.2..5.6.7.0..5.6.7.4..6.0.7.6

%K nonn

%O 1,3

%A _R. H. Hardin_ Apr 28 2012

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