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A302678 Number of nX6 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 11 2018 12:27:01

%S 13,13,40,76,187,453,1125,2782,6843,16908,41758,103027,254329,627855,

%T 1549720,3825349,9442726,23308474,57535003,142020909,350567119,

%U 865346622,2136039825,5272643974,13015100410,32126739133,79302295311,195751392919

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A302680.

%H R. H. Hardin, <a href="/A302678/b302678.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +a(n-4) -2*a(n-5) -a(n-6) for n>12

%e Some solutions for n=5

%e ..0..1..0..1..0..1. .0..0..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1

%e ..0..1..0..1..1..1. .0..1..0..1..1..1. .0..0..0..1..0..1. .0..1..0..0..0..1

%e ..0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1

%e ..0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..1..1..0..1

%e ..0..0..0..1..0..1. .0..0..0..1..1..1. .0..1..1..1..0..1. .0..1..0..1..0..1

%Y Cf. A302680.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 11 2018

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)