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Number of n X 7 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Sep 04 2022 13:19:37

%S 0,64,8,9,17,22,31,83,92,172,309,549,923,1830,3021,5580,10091,18344,

%T 33025,61470,111014,205198,376471,694579,1277419,2365958,4360085,

%U 8074209,14929946,27656016,51194508,94924809,175864241,326176032,604808134

%N Number of n X 7 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A298924.

%H R. H. Hardin, <a href="/A298923/b298923.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298924.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2018