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A301795 Number of 6 X n 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #6 Jun 07 2021 13:24:11

%S 32,233,96,116,150,205,294,438,671,1048,1658,2645,4242,6826,11007,

%T 17772,28718,46429,75086,121454,196479,317872,514290,832101,1346330,

%U 2178370,3524639,5702948,9227526,14930413,24157878,39088230,63246047,102334216

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

%C Row 6 of A301790.

%H R. H. Hardin, <a href="/A301795/b301795.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-3) for n > 6.

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A301790.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 26 2018

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)