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%I #10 Oct 09 2023 17:40:14
%S 5,20,50,96,151,212,273,344,421,504,587,676,765,860,959,1064,1169,
%T 1280,1391,1508,1625,1748,1871,2000,2131,2268,2405,2548,2691,2840,
%U 2989,3144,3299,3460,3621,3788,3955,4128,4301,4480,4659,4844,5029,5220,5411,5608
%N Number of rhombuses on a (n+1) X 6 grid.
%H R. H. Hardin, <a href="/A190094/b190094.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) - 2*a(n-3) + a(n-4) for n>27.
%e Some solutions for n=3:
%e ..1..2....1..0....1..3....1..4....0..4....0..3....0..1....1..3....0..0....2..0
%e ..1..4....1..2....1..5....1..5....1..3....1..1....0..3....2..1....0..2....2..1
%e ..3..4....3..2....3..5....2..5....2..4....3..2....2..3....3..3....2..2....3..1
%e ..3..2....3..0....3..3....2..4....1..5....2..4....2..1....2..5....2..0....3..0
%Y Column 5 of A190098.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 04 2011
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