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.

A302872 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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%I A302872 #4 Apr 15 2018 10:30:55
%S A302872 3,11,17,37,82,209,536,1549,4513,13980,44424,142457,463592,1518144,
%T A302872 4985864,16423493,54170895,178797985,590488247,1950654770,6444889749,
%U A302872 21296082916,70373480203,232558689443,768538881502,2539828012418
%N A302872 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302872 Column 3 of A302877.
%H A302872 R. H. Hardin, <a href="/A302872/b302872.txt">Table of n, a(n) for n = 1..210</a>
%F A302872 Empirical: a(n) = 3*a(n-1) +9*a(n-3) -15*a(n-4) -5*a(n-5) -22*a(n-6) -7*a(n-7) +9*a(n-8) -32*a(n-9) -10*a(n-10) -16*a(n-11) -40*a(n-12) -16*a(n-13) for n>16
%e A302872 Some solutions for n=5
%e A302872 ..0..0..1. .0..0..1. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..0..0
%e A302872 ..0..1..0. .1..1..1. .0..1..0. .1..1..1. .0..1..0. .1..1..1. .0..1..0
%e A302872 ..0..1..0. .1..0..1. .0..1..0. .1..0..1. .0..1..0. .1..0..1. .0..1..0
%e A302872 ..0..1..0. .1..0..0. .1..1..0. .1..0..1. .0..0..0. .1..0..1. .0..1..0
%e A302872 ..0..0..0. .1..0..1. .0..1..0. .0..1..1. .0..1..1. .1..1..0. .0..1..0
%Y A302872 Cf. A302877.
%K A302872 nonn
%O A302872 1,1
%A A302872 _R. H. Hardin_, Apr 15 2018