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

%I #7 Apr 05 2018 04:09:47

%S 2,10,29,89,353,941,3316,12016,34060,120940,415304,1257949,4395268,

%T 14710881,46444038,159674287,528683443,1709740974,5804427370,

%U 19154720511,62771586925,211230338251,697032878924,2300170434527,7695594400341

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

%C Column 4 of A302278.

%H R. H. Hardin, <a href="/A302274/b302274.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A302274/a302274.txt">Empirical recurrence of order 72</a>

%F Empirical recurrence of order 72 (see link above)

%e Some solutions for n=5:

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

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

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

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

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

%Y Cf. A302278.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2018