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

%I #6 Aug 19 2022 15:35:41

%S 8,1,10,17,56,255,1038,4771,21866,102060,476499,2227609,10440370,

%T 48996354,230159202,1081764728,5086004704,23916740145,112479869517,

%U 529026120838,2488273643127,11703911410284,55051772837784

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

%C Row 4 of A302150.

%H R. H. Hardin, <a href="/A302152/b302152.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical recurrence of order 85 (see link above).

%e Some solutions for n=5

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

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

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

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

%Y Cf. A302150.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 02 2018