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Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 16 2018 11:41:57

%S 0,11,86,519,3626,26167,185810,1317541,9353154,66404553,471405566,

%T 3346494089,23756835310,168650322345,1197251824916,8499313431065,

%U 60336790015098,428332035511083,3040737367321452,21586253123647687

%N Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302953.

%H R. H. Hardin, <a href="/A302954/b302954.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) +37*a(n-3) +80*a(n-4) +68*a(n-5) +26*a(n-6) +5*a(n-7) for n>9

%e Some solutions for n=5

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

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

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

%Y Cf. A302953.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 16 2018