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A302411 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 8,37,66,259,994,3548,12442,46066,166341,602444,2183411,7921498,

%T 28715036,104088155,377401980,1368277734,4960546524,17984375837,

%U 65202131367,236388514292,857019649393,3107104187360,11264728756777,40839980788401

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302415.

%H R. H. Hardin, <a href="/A302411/b302411.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +4*a(n-2) +a(n-3) -17*a(n-4) -39*a(n-5) -18*a(n-6) +96*a(n-7) +133*a(n-8) -a(n-9) -37*a(n-10) -239*a(n-11) -212*a(n-12) -10*a(n-13) +191*a(n-14) +299*a(n-15) -38*a(n-16) +62*a(n-17) +145*a(n-18) -218*a(n-19) -77*a(n-20) +21*a(n-21) -202*a(n-22) +25*a(n-23) +144*a(n-24) +19*a(n-25) -53*a(n-26) +2*a(n-27) +22*a(n-28) -5*a(n-29) +4*a(n-30) -4*a(n-31) for n>33

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302415.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018

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Last modified September 24 11:27 EDT 2022. Contains 356932 sequences. (Running on oeis4.)