A189810 - OEIS

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

%S 68,238,524,926,1444,2060,2784,3596,4492,5470,6516,7630,8820,10070,

%T 11380,12758,14204,15710,17276,18902,20596,22350,24164,26038,27972,

%U 29970,32028,34146,36324,38562,40860,43218,45636,48114,50652,53250,55908,58626,61404

%N Number of right triangles on a (n+1)X6 grid

%C Column 5 of A189814

%H R. H. Hardin, <a href="/A189810/b189810.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 30*n^2 + 468*n - 2478 for n>24

%e Some solutions for n=3

%e ..3..5....0..3....3..4....0..0....2..5....3..1....3..3....1..2....3..2....1..2

%e ..0..5....0..2....1..4....0..3....1..5....0..1....0..3....1..3....0..0....1..5

%e ..3..0....1..3....3..0....3..0....2..2....3..4....3..1....2..2....1..5....2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 28 2011