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R. H. Hardin, <a href="/A275262/b275262.txt">Table of n, a(n) for n = 1..210</a>

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Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2.

14, 324, 688, 2564, 13156, 73012, 409728, 2315520, 13124196, 74374784, 421693088, 2391893604, 13567346336, 76957333264, 436531122532, 2476214431728, 14046271820336, 79677222082004, 451968054503712, 2563784735001168

1,1

Column 4 of A275266.

Empirical: a(n) = 9*a(n-1) -8*a(n-2) -91*a(n-3) +200*a(n-4) -365*a(n-5) +232*a(n-6) +6547*a(n-7) -12399*a(n-8) -3096*a(n-9) +20040*a(n-10) -163736*a(n-11) +284668*a(n-12) +287340*a(n-13) -842028*a(n-14) +1933364*a(n-15) -2630928*a(n-16) -4625380*a(n-17) +11081600*a(n-18) -11258432*a(n-19) +7949632*a(n-20) +34727136*a(n-21) -65185920*a(n-22) +24698432*a(n-23) +19096576*a(n-24) -124436288*a(n-25) +173188864*a(n-26) +14216192*a(n-27) -143664128*a(n-28) +195146752*a(n-29) -191841280*a(n-30) -91961344*a(n-31) +251741184*a(n-32) -138330112*a(n-33) +51499008*a(n-34) +91783168*a(n-35) -160559104*a(n-36) +42188800*a(n-37) +27852800*a(n-38) -34209792*a(n-39) +33554432*a(n-40) -4194304*a(n-41) -11534336*a(n-42) +4194304*a(n-43) for n>47

Some solutions for n=4

..0..1..2..1. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..2

..0..1..0..1. .0..1..0..2. .0..1..0..2. .2..1..0..2. .0..2..0..2

..2..1..0..1. .0..2..0..2. .2..1..2..2. .2..1..0..2. .0..2..0..2

..2..1..0..2. .0..2..0..2. .0..1..0..1. .2..1..0..1. .1..2..0..1

Cf. A275266.

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R. H. Hardin, Jul 21 2016

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