A275262 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

Offset

1,1

Comments

Column 4 of A275266.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

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

Crossrefs

Cf. A275266.

Sequence in context: A264177 A275500 A275397 * A241373 A090598 A277769

Adjacent sequences: A275259 A275260 A275261 * A275263 A275264 A275265

Keyword

nonn

Author

R. H. Hardin, Jul 21 2016

Status

approved