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A301949 Number of nX6 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 5,169,4070,98839,2406169,58609226,1427656268,34776685046,

%T 847137052736,20635714219606,502672812882802,12244789017184793,

%U 298275250691010051,7265794879094161325,176990129491522032721,4311366679215895257906

%N Number of nX6 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A301951.

%H R. H. Hardin, <a href="/A301949/b301949.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 33*a(n-1) -194*a(n-2) -715*a(n-3) +7892*a(n-4) -2145*a(n-5) -104797*a(n-6) +126737*a(n-7) +639098*a(n-8) -780482*a(n-9) -2453736*a(n-10) +1736864*a(n-11) +5706799*a(n-12) -506462*a(n-13) -5848822*a(n-14) -644915*a(n-15) +3230474*a(n-16) +509931*a(n-17) -1056960*a(n-18) -144139*a(n-19) +202757*a(n-20) +17729*a(n-21) -20624*a(n-22) -825*a(n-23) +894*a(n-24) +25*a(n-25) -16*a(n-26) for n>28

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301951.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 29 2018

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Last modified January 27 10:14 EST 2022. Contains 350607 sequences. (Running on oeis4.)