A232025 - OEIS

%I #4 Nov 17 2013 06:58:06

%S 27,121,852,6443,52680,429976,3466702,27787183,222389326,1780673721,

%T 14267000759,114336941196,916296529103,7342802491841,58840508065211,

%U 471508681192630,3778370050644605,30277527214482376,242625604992194944

%N Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

%C Row 3 of A232023

%H R. H. Hardin, <a href="/A232025/b232025.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) -345*a(n-2) +2906*a(n-3) -18194*a(n-4) +89630*a(n-5) -358894*a(n-6) +1185747*a(n-7) -3260528*a(n-8) +7466097*a(n-9) -14160132*a(n-10) +21896170*a(n-11) -26633596*a(n-12) +23529983*a(n-13) -11654811*a(n-14) -723584*a(n-15) -1889472*a(n-16) +30150715*a(n-17) -76789441*a(n-18) +108264425*a(n-19) -86458925*a(n-20) -2171553*a(n-21) +134672418*a(n-22) -234146243*a(n-23) +241899114*a(n-24) -161267275*a(n-25) +17371932*a(n-26) +86178714*a(n-27) -121036721*a(n-28) +159172848*a(n-29) -142380806*a(n-30) +98877622*a(n-31) -56252050*a(n-32) -58219355*a(n-33) +89668896*a(n-34) -59655755*a(n-35) +88313022*a(n-36) -12314620*a(n-37) -52223803*a(n-38) -6093896*a(n-39) -8246178*a(n-40) +26031408*a(n-41) +11882831*a(n-42) +3875046*a(n-43) -10990860*a(n-44) -10242618*a(n-45) +3330927*a(n-46) +2031952*a(n-47) +1747833*a(n-48) +1001573*a(n-49) -1169345*a(n-50) -559815*a(n-51) +163580*a(n-52) +94865*a(n-53) +16502*a(n-54) -321*a(n-55) -4403*a(n-56) -1435*a(n-57) -16*a(n-58) +76*a(n-59) +28*a(n-60) +4*a(n-61) for n>64

%e Some solutions for n=5

%e ..1..1..1..2..0....1..1..2..2..1....2..2..2..1..0....2..0..0..1..1

%e ..1..1..2..0..0....0..0..0..0..0....0..0..0..0..1....0..0..0..0..0

%e ..2..2..2..1..1....0..2..2..0..0....0..0..2..1..1....1..2..0..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013