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%I #4 Apr 08 2018 10:00:10
%S 1,13,8,10,54,111,276,1050,3589,12072,43194,154851,551019,1973047,
%T 7081628,25392279,91083444,326896708,1173197125,4210409234,
%U 15111648970,54238806035,194673096964,698722708994,2507881233738,9001384099178
%N Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 4 of A302460.
%H R. H. Hardin, <a href="/A302456/b302456.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -a(n-2) +13*a(n-3) -43*a(n-4) -45*a(n-5) -55*a(n-6) +205*a(n-7) +430*a(n-8) +247*a(n-9) -420*a(n-10) -1411*a(n-11) -609*a(n-12) -98*a(n-13) +493*a(n-14) -1433*a(n-15) -674*a(n-16) +5576*a(n-17) +12646*a(n-18) +11980*a(n-19) -5741*a(n-20) -26379*a(n-21) -29484*a(n-22) +1409*a(n-23) +31978*a(n-24) +27080*a(n-25) -37072*a(n-26) -62871*a(n-27) -45568*a(n-28) +79026*a(n-29) +135383*a(n-30) +70938*a(n-31) -42117*a(n-32) -170277*a(n-33) -55003*a(n-34) +38773*a(n-35) +146571*a(n-36) +32581*a(n-37) -57933*a(n-38) -113650*a(n-39) -23076*a(n-40) +26108*a(n-41) +76117*a(n-42) -13998*a(n-43) -4170*a(n-44) -30711*a(n-45) +14247*a(n-46) +981*a(n-47) +11547*a(n-48) -217*a(n-49) +1020*a(n-50) +3780*a(n-51) -1840*a(n-52) -3743*a(n-53) -80*a(n-54) +316*a(n-55) +800*a(n-56) -1090*a(n-57) -430*a(n-58) -300*a(n-59) -28*a(n-60) +494*a(n-61) -435*a(n-62) +228*a(n-63) +114*a(n-64) -94*a(n-65) -12*a(n-66) +27*a(n-67) +7*a(n-68) -10*a(n-69) -a(n-70) +a(n-71) for n>72
%e Some solutions for n=5
%e ..0..0..1..1. .0..1..1..1. .0..0..0..1. .0..1..1..1. .0..1..1..0
%e ..0..0..1..1. .1..1..1..0. .1..0..0..0. .1..1..1..0. .1..1..1..1
%e ..0..0..1..0. .1..1..1..1. .1..0..1..0. .1..0..1..0. .1..0..1..0
%e ..0..0..1..1. .0..0..1..0. .1..0..0..0. .1..1..1..1. .1..1..1..0
%e ..0..0..1..1. .0..0..1..0. .0..0..0..1. .0..1..1..0. .0..1..1..0
%Y Cf. A302460.
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 08 2018
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