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.

A188601 Number of nX3 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.

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%I A188601 #10 Jul 22 2025 11:16:50
%S A188601 7,49,211,883,3354,12529,45705,165506,595370,2135861,7647306,27355170,
%T A188601 97794320,349507418,1248880596,4462146126,15941995134,56954562018,
%U A188601 203473087470,726911218475,2596889588906,9277358418622,33143203071246
%N A188601 Number of nX3 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.
%C A188601 Column 3 of A188607
%H A188601 R. H. Hardin, <a href="/A188601/b188601.txt">Table of n, a(n) for n = 1..200</a>
%F A188601 Empirical: a(n) = 6*a(n-1) - 3*a(n-2) - 34*a(n-3) + 34*a(n-4) + 82*a(n-5) - 71*a(n-6) - 130*a(n-7) + 42*a(n-8) + 165*a(n-9) + 24*a(n-10) - 146*a(n-11) - 44*a(n-12) + 72*a(n-13) + 25*a(n-14) - 15*a(n-15) - 6*a(n-16)
%e A188601 Some solutions for 4X3
%e A188601 ..0..1..1....1..0..1....0..1..0....0..0..1....0..1..0....0..1..1....1..1..1
%e A188601 ..0..0..0....1..0..1....1..1..1....0..0..0....0..0..0....1..0..1....0..0..0
%e A188601 ..1..0..0....1..0..1....0..1..1....1..1..1....0..1..1....0..1..1....1..0..0
%e A188601 ..1..1..1....1..1..1....1..1..1....1..1..1....0..0..0....1..0..1....0..1..1
%K A188601 nonn
%O A188601 1,1
%A A188601 _R. H. Hardin_ Apr 05 2011