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A301966 Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 29 2018 13:03:31

%S 8,34,40,64,111,219,443,904,1860,3856,8015,16659,34647,72088,150004,

%T 312144,649555,1351723,2812951,5853784,12181816,25350576,52755019,

%U 109784179,228462939,475435704,989390720,2058940864,4284695031

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

%C Row 4 of A301964.

%H R. H. Hardin, <a href="/A301966/b301966.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-3) -a(n-4) -2*a(n-6) +a(n-7) for n>9

%e Some solutions for n=5

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

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

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

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

%Y Cf. A301964.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 29 2018

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Last modified August 21 19:45 EDT 2024. Contains 375353 sequences. (Running on oeis4.)