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.

A302809 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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%I A302809 #4 Apr 13 2018 13:09:58
%S A302809 4,32,169,934,5117,28128,154494,848519,4660562,25597855,140595667,
%T A302809 772217905,4241385457,23295695745,127950975583,702767266506,
%U A302809 3859930159709,21200561758854,116443510741144,639562826045595
%N A302809 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302809 Row 3 of A302808.
%H A302809 R. H. Hardin, <a href="/A302809/b302809.txt">Table of n, a(n) for n = 1..210</a>
%F A302809 Empirical: a(n) = 3*a(n-1) +14*a(n-2) +2*a(n-3) -22*a(n-4) +3*a(n-5) +37*a(n-6) -19*a(n-7) -4*a(n-8) +24*a(n-9) -4*a(n-10) +11*a(n-11) +8*a(n-12) +2*a(n-13) for n>15
%e A302809 Some solutions for n=5
%e A302809 ..0..0..1..0..0. .0..1..0..1..0. .0..1..1..0..0. .0..0..0..1..1
%e A302809 ..0..1..0..1..0. .1..1..1..0..0. .1..0..1..1..1. .0..0..1..0..0
%e A302809 ..1..0..0..1..0. .0..0..1..0..1. .0..1..0..0..0. .1..1..1..1..1
%Y A302809 Cf. A302808.
%K A302809 nonn
%O A302809 1,1
%A A302809 _R. H. Hardin_, Apr 13 2018