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.

A303406 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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%I A303406 #4 Apr 23 2018 10:39:06
%S A303406 1,7,28,119,541,2327,10384,47491,208616,938105,4229023,18855226,
%T A303406 84609455,379973132,1700940358,7627893865,34215621269,153337948168,
%U A303406 687522535009,3082887354405,13820286385598,61963243406462,277818915171978
%N A303406 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303406 Column 3 of A303410.
%H A303406 R. H. Hardin, <a href="/A303406/b303406.txt">Table of n, a(n) for n = 1..210</a>
%F A303406 Empirical: a(n) = 2*a(n-1) +7*a(n-2) +35*a(n-3) -36*a(n-4) -151*a(n-5) -97*a(n-6) +34*a(n-7) +258*a(n-8) -724*a(n-9) +256*a(n-10) +1584*a(n-11) -240*a(n-12) -512*a(n-13) -304*a(n-14) +1728*a(n-15) -1344*a(n-16) -1792*a(n-17) +1024*a(n-18)
%e A303406 Some solutions for n=5
%e A303406 ..0..1..1. .0..1..0. .0..1..0. .0..0..0. .0..1..0. .0..0..1. .0..0..0
%e A303406 ..1..0..0. .0..0..1. .1..0..1. .0..1..0. .0..0..1. .0..1..1. .1..0..1
%e A303406 ..1..0..1. .0..0..0. .0..1..0. .1..0..0. .1..0..0. .0..1..0. .0..1..0
%e A303406 ..1..1..1. .1..1..0. .1..0..1. .1..1..0. .1..1..1. .0..0..0. .1..0..1
%e A303406 ..0..0..0. .0..0..1. .1..1..1. .1..0..1. .0..0..1. .0..0..0. .0..0..0
%Y A303406 Cf. A303410.
%K A303406 nonn
%O A303406 1,2
%A A303406 _R. H. Hardin_, Apr 23 2018