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Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 10 2018 19:35:28

%S 32,42,82,248,719,2262,6460,19799,59002,179668,535412,1618765,4863776,

%T 14679083,44118667,132955659,400197277,1205668487,3629343498,

%U 10930567358,32912798461,99120195646,298461584492,898783501386,2706487328339

%N Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 6 of A302635.

%H R. H. Hardin, <a href="/A302639/b302639.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A302639/a302639.txt">Empirical recurrence of order 81</a>

%F Empirical recurrence of order 81 (see link above)

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A302635.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2018