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A211906 Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-3 0

%I #4 Dec 18 2015 18:18:08

%S 0,2,30,418,3006,14201,51157,152650,396538,926011,1987151,3980637,

%T 7530745,13575108,23479016,39178351,63355567,99653440,152931628,

%U 229571396,337834176,488279947,694251735

%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 horizontal or vertical neighbor, and containing the value n(n+1)/2-3

%C Column 2 of A211910

%F Empirical: a(n) = (1/128)*n^8 + (1/32)*n^7 - (29/192)*n^6 - (5/16)*n^5 + (193/128)*n^4 - (25/96)*n^3 - (275/96)*n^2 + (49/24)*n + 1 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....3.4.5....3.4.5....3.4.2....3.4.5....3.4.5....2.3.4....3.4.5

%e ..6.7.0.8..6.0.1.7..6.3.7.8..5.6.7.3..1.5.6.7..6.2.7.5..5.6.0.7..6.2.6.7

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 25 2012

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