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Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #8 Sep 23 2025 10:17:03

%S 21,363,722,5871,41498,359518,3780984,44888558,569313013,7621363641,

%T 104570444900,1454457203293,20411212109809,287723152198003,

%U 4065886450724385,57544773261064748,815093693449992494,11550700060063578523,163730083295186854815,2321204954098204497679

%N Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%H R. H. Hardin, <a href="/A302876/b302876.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5:

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

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

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

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

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

%Y Column 7 of A302877.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 15 2018