A275147 Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.

365, 46656, 50000, 122368, 175120, 841536, 4055152, 19906560, 98050624, 485275472, 2393975472, 11827067056, 58618143280, 290834622960, 1442223151168, 7149923428256, 35460798018688, 175959368070992, 873276392285488

Offset

1,1

Comments

Row 7 of A275142.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -209*a(n-2) +1330*a(n-3) -6059*a(n-4) +20839*a(n-5) -55739*a(n-6) +118287*a(n-7) -202495*a(n-8) +284119*a(n-9) -331806*a(n-10) +326718*a(n-11) -273224*a(n-12) +193798*a(n-13) -115270*a(n-14) +56258*a(n-15) -21837*a(n-16) +6481*a(n-17) -1404*a(n-18) +210*a(n-19) -20*a(n-20) +a(n-21) for n>27

Example

Some solutions for n=5
..0..1..0..2..1. .0..1..0..1..0. .0..1..0..1..2. .0..1..0..1..0
..1..2..1..0..1. .0..2..1..0..1. .1..2..1..0..2. .0..1..2..0..1
..2..0..2..0..2. .0..2..1..0..2. .1..0..2..0..2. .2..1..2..0..1
..2..1..0..1..0. .1..0..2..1..2. .2..1..2..1..0. .2..0..1..0..1
..0..1..0..2..1. .1..0..2..1..0. .0..1..0..2..1. .1..2..1..2..0
..0..2..1..2..1. .2..1..2..1..0. .0..2..1..0..1. .0..2..0..1..2
..1..0..2..0..2. .2..1..0..2..1. .2..0..1..0..2. .1..0..2..1..2

Crossrefs

Cf. A275142.

Sequence in context: A233116 A208433 A275357 * A275227 A281610 A233072

Adjacent sequences: A275144 A275145 A275146 * A275148 A275149 A275150

Keyword

nonn

Author

R. H. Hardin, Jul 17 2016

Status

approved