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A195250 Number of lower triangles of a 4X4 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less 1

%I #5 Mar 31 2012 12:36:24

%S 1024,59049,190514,357847,533142,709613,886084,1062555,1239026,

%T 1415497,1591968,1768439,1944910,2121381,2297852,2474323,2650794,

%U 2827265,3003736,3180207,3356678,3533149,3709620,3886091,4062562,4239033,4415504,4591975

%N Number of lower triangles of a 4X4 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less

%C Row 4 of A195248

%H R. H. Hardin, <a href="/A195250/b195250.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 176471*n - 349213 for n>4

%e Some solutions for n=5

%e ..2........5........3........0........5........1........2........3

%e ..0.0......4.3......2.1......0.2......5.5......0.0......0.2......1.2

%e ..1.2.1....4.3.1....0.2.2....0.1.3....5.5.3....0.2.1....1.1.1....2.0.2

%e ..2.1.3.2..3.3.1.0..1.0.1.2..0.2.2.2..4.4.5.4..0.1.0.0..2.0.1.2..2.0.1.0

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 13 2011

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Last modified September 1 06:23 EDT 2024. Contains 375575 sequences. (Running on oeis4.)