cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A190096 Number of rhombuses on a (n+1)X8 grid.

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%I A190096 #7 Jul 22 2025 12:01:46
%S A190096 7,32,82,164,273,412,564,736,918,1112,1306,1520,1734,1960,2198,2448,
%T A190096 2698,2964,3230,3508,3790,4084,4378,4684,4996,5320,5644,5980,6316,
%U A190096 6664,7012,7372,7732,8104,8480,8868,9256,9656,10056,10468,10880,11304,11728,12164
%N A190096 Number of rhombuses on a (n+1)X8 grid.
%C A190096 Column 7 of A190098
%H A190096 R. H. Hardin, <a href="/A190096/b190096.txt">Table of n, a(n) for n = 1..200</a>
%F A190096 Empirical: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4) for n>51
%e A190096 Some solutions for n=3
%e A190096 ..1..3....0..2....0..5....0..3....1..3....0..3....0..5....0..1....0..4....2..4
%e A190096 ..1..5....1..1....1..3....1..5....2..0....0..6....1..4....1..3....0..7....2..5
%e A190096 ..3..5....2..2....3..2....3..4....3..3....3..6....2..5....3..2....3..7....3..5
%e A190096 ..3..3....1..3....2..4....2..2....2..6....3..3....1..6....2..0....3..4....3..4
%K A190096 nonn
%O A190096 1,1
%A A190096 _R. H. Hardin_ May 04 2011