A189812 - OEIS

%I #5 Mar 31 2012 12:36:16

%S 124,434,972,1754,2784,4032,5520,7224,9128,11218,13500,15938,18568,

%T 21328,24216,27248,30432,33728,37152,40696,44376,48176,52096,56128,

%U 60288,64572,68968,73476,78104,82844,87712,92692,97784,102988,108304,113740,119296

%N Number of right triangles on a (n+1)X8 grid

%C Column 7 of A189814

%H R. H. Hardin, <a href="/A189812/b189812.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 56*n^2 + 1480*n - 12216 for n>48

%e Some solutions for n=3

%e ..3..5....0..2....2..2....0..3....3..3....0..3....1..7....3..0....2..7....2..5

%e ..1..6....0..7....0..2....2..1....2..3....0..5....0..5....1..0....1..7....2..1

%e ..2..3....1..2....2..7....2..5....3..2....2..3....3..6....3..7....2..6....3..5

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 28 2011