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Number of n X 7 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #6 Jan 16 2022 00:46:07

%S 1,304,1585,52012,1220365,31434011,831752031,21825406629,577067248097,

%T 15264615530025,403812868628480,10685809803693442,282758103332509395,

%U 7482442076882694554,198001573519763389397,5239581373201937179149

%N Number of n X 7 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A300539.

%H R. H. Hardin, <a href="/A300538/b300538.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300539.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 08 2018