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A301789 Number of n X 7 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 13:13:40

%S 21,35,59,100,171,294,508,881,1532,2670,4661,8147,14254,24957,43721,

%T 76625,134335,235566,413157,724732,1271408,2230625,3913758,6867218,

%U 12049871,21144385,37103604,65109365,114255101,200498599,351843723

%N Number of n X 7 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A301790.

%H R. H. Hardin, <a href="/A301789/b301789.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-4) -a(n-6).

%e Some solutions for n=5

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

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

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

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

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