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 A280671 Number of nX6 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1

%I

%S 82,10893,1401470,183331502,23952262535,3130289979912,409089889172506,

%T 53463025958093933,6986960714513387194,913109939977637081743,

%U 119332252787740585439815,15595259598595853987150831

%N Number of nX6 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%C Column 6 of A280673.

%H R. H. Hardin, <a href="/A280671/b280671.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 115*a(n-1) +2093*a(n-2) -4155*a(n-3) -183686*a(n-4) -585648*a(n-5) +633260*a(n-6) +10692868*a(n-7) -4449787*a(n-8) -90326895*a(n-9) -58218792*a(n-10) -85358831*a(n-11) -153604102*a(n-12) +506925527*a(n-13) +114376456*a(n-14) +783370521*a(n-15) +27819835*a(n-16) +40476932*a(n-17) -4134454*a(n-18) +1119384*a(n-19) -261121*a(n-20) for n>22

%e Some solutions for n=2

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

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

%Y Cf. A280673.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 07 2017

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Last modified December 5 23:38 EST 2021. Contains 349558 sequences. (Running on oeis4.)