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A300461 Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 0,4,8,28,142,540,2585,11343,51501,233028,1052448,4769842,21579345,

%T 97715668,442378911,2002838338,9067930634,41054700887,185876096558,

%U 841553822832,3810142997823,17250454214015,78101569076062

%N Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A300465.

%H R. H. Hardin, <a href="/A300461/b300461.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +6*a(n-2) -5*a(n-3) -37*a(n-4) -59*a(n-5) -39*a(n-6) +80*a(n-7) -279*a(n-8) +328*a(n-9) +1083*a(n-10) -25*a(n-11) +6234*a(n-12) +6280*a(n-13) -5927*a(n-14) +13954*a(n-15) -677*a(n-16) -53183*a(n-17) +32616*a(n-18) -49693*a(n-19) -57573*a(n-20) +142653*a(n-21) -126299*a(n-22) +100762*a(n-23) +71676*a(n-24) -234851*a(n-25) +178322*a(n-26) -92379*a(n-27) -11243*a(n-28) +181969*a(n-29) -91225*a(n-30) +44201*a(n-31) -9047*a(n-32) -83657*a(n-33) +21643*a(n-34) +39079*a(n-35) -7039*a(n-36) -11806*a(n-37) +2726*a(n-38) +9392*a(n-39) -18923*a(n-40) +27265*a(n-41) -28247*a(n-42) +17148*a(n-43) -7200*a(n-44) +2338*a(n-45) +517*a(n-46) -867*a(n-47) -170*a(n-48) +576*a(n-49) -297*a(n-50) +60*a(n-51) -4*a(n-52) for n>54

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300465.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 06 2018

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Last modified August 12 05:33 EDT 2020. Contains 336438 sequences. (Running on oeis4.)