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Number of n X 5 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
1

%I #6 Jun 09 2023 22:41:14

%S 8,34,17,119,507,934,6236,28894,110488,622009,3049916,14018671,

%T 73811194,367730182,1780561104,9123925882,45610653026,225153627304,

%U 1139574453318,5701870326247,28374918210978,142791675905301,714723290068185

%N Number of n X 5 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 5 of A298320.

%H R. H. Hardin, <a href="/A298317/b298317.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298320.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2018