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A195251 Number of lower triangles of a 5X5 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.

%I A195251 #7 Jul 22 2025 12:42:39
%S A195251 32768,14348907,67379894,147824001,237368212,329060365,421064386,
%T A195251 513095495,605126604,697157713,789188822,881219931,973251040,
%U A195251 1065282149,1157313258,1249344367,1341375476,1433406585,1525437694,1617468803
%N A195251 Number of lower triangles of a 5X5 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
%C A195251 Row 5 of A195248
%H A195251 R. H. Hardin, <a href="/A195251/b195251.txt">Table of n, a(n) for n = 1..200</a>
%F A195251 Empirical: a(n) = 92031109*n - 223153377 for n>6
%e A195251 Some solutions for n=5
%e A195251 ..3..........5..........5..........4..........2..........0..........3
%e A195251 ..3.5........5.3........3.3........2.2........3.3........1.2........2.1
%e A195251 ..3.4.3......3.3.2......3.4.4......2.2.3......3.2.3......3.3.1......3.3.2
%e A195251 ..5.4.3.4....5.3.2.0....4.2.3.4....4.2.1.2....2.4.2.4....4.3.2.2....3.1.3.1
%e A195251 ..5.5.3.5.4..3.4.2.2.2..2.2.3.3.4..2.2.2.1.1..3.2.2.4.3..3.2.1.3.3..1.1.3.2.2
%K A195251 nonn
%O A195251 1,1
%A A195251 _R. H. Hardin_ Sep 13 2011