A275087 - OEIS

%I #4 Jul 16 2016 09:20:34

%S 12,288,1680,12816,87924,647648,4706400,34281472,248629316,1807849760,

%T 13148091944,95586744116,694768673948,5050803706792,36719738878324,

%U 266942014046252,1940565298670908,14107383564812316,102557258518158564

%N Number of nX5 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

%C Column 5 of A275090.

%H R. H. Hardin, <a href="/A275087/b275087.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +15*a(n-2) +101*a(n-3) +450*a(n-4) +587*a(n-5) -948*a(n-6) -6010*a(n-7) -692*a(n-8) +18832*a(n-9) -31839*a(n-10) +1958*a(n-11) +58620*a(n-12) -170990*a(n-13) +243302*a(n-14) -278201*a(n-15) +182523*a(n-16) +57164*a(n-17) -121679*a(n-18) +9439*a(n-19) +37154*a(n-20) +841*a(n-21) -863*a(n-22) +182*a(n-23) +60*a(n-24) -6*a(n-25) -2*a(n-26) +a(n-27) for n>28

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275090.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 16 2016