A302377 - OEIS

%I #4 Apr 06 2018 12:38:51

%S 2,46,430,4640,48980,514655,5421003,57068484,600825641,6325616349,

%T 66596986535,701143904697,7381754599676,77716287676023,

%U 818209464051271,8614239598434833,90692087070581459,954820743332757828

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

%C Column 4 of A302381.

%H R. H. Hardin, <a href="/A302377/b302377.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +33*a(n-2) -25*a(n-3) -427*a(n-4) -361*a(n-5) +1618*a(n-6) +3070*a(n-7) -2572*a(n-8) -6300*a(n-9) +3216*a(n-10) +3053*a(n-11) -8191*a(n-12) +955*a(n-13) +12197*a(n-14) -2105*a(n-15) +634*a(n-16) -1833*a(n-17) -1727*a(n-18) -2285*a(n-19) +2346*a(n-20) -1596*a(n-21) +780*a(n-22) -134*a(n-23) -6*a(n-24) +44*a(n-25) -16*a(n-26)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302381.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 06 2018