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A301403 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 20 2018 11:08:29

%S 8,128,1988,31012,483600,7541492,117605364,1833990416,28600063044,

%T 446002115620,6955155548976,108461792028276,1691401471500596,

%U 26376467549478768,411326377629044484,6414406653053610276

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A301407.

%H R. H. Hardin, <a href="/A301403/b301403.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +40*a(n-2) +9*a(n-3) -29*a(n-4) +4*a(n-5)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301407.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 20 2018

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Last modified September 10 13:17 EDT 2024. Contains 375790 sequences. (Running on oeis4.)