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A190095 Number of rhombuses on a (n+1)X7 grid 1

%I #5 Mar 31 2012 12:36:19

%S 6,26,66,130,212,312,412,527,650,782,914,1059,1204,1358,1520,1691,

%T 1862,2044,2226,2417,2608,2808,3008,3217,3430,3652,3874,4105,4336,

%U 4576,4816,5065,5314,5572,5830,6097,6364,6640,6916,7201,7486,7780,8074,8377,8680

%N Number of rhombuses on a (n+1)X7 grid

%C Column 6 of A190098

%H R. H. Hardin, <a href="/A190095/b190095.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 ..0..1....0..6....0..4....0..2....1..5....0..4....0..2....0..1....0..4....1..1

%e ..1..0....1..4....1..2....0..5....1..6....0..5....0..3....1..3....1..2....1..3

%e ..2..1....3..3....2..4....3..5....2..6....1..5....1..3....3..2....3..1....3..3

%e ..1..2....2..5....1..6....3..2....2..5....1..4....1..2....2..0....2..3....3..1

%K nonn

%O 1,1

%A _R. H. Hardin_ May 04 2011

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Last modified September 6 00:26 EDT 2024. Contains 375701 sequences. (Running on oeis4.)