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Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #8 Oct 29 2023 02:22:05

%S 1,16,44,327,1653,10135,60730,366981,2221003,13463050,81660443,

%T 495408923,3006220227,18242218796,110703174526,671804474036,

%U 4076912884571,24741148460838,150144557785977,911169851527587,5529544369303067

%N Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A300966.

%H R. H. Hardin, <a href="/A300962/b300962.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A300962/a300962.txt">Empirical recurrence of order 75</a>

%F Empirical recurrence of order 75 (see link above).

%e Some solutions for n=5:

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

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

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

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

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

%Y Cf. A300966.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 17 2018