A276295 Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.

4, 36, 173, 1017, 5965, 34865, 203933, 1192701, 6974781, 40786925, 238509373, 1394719389, 8155807421, 47692103389, 278885349565, 1630815353885, 9536385985277, 55765143107101, 326093248975229, 1906868691945053

Offset

1,1

Comments

Column 4 of A276299.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -20*a(n-2) +17*a(n-3) -65*a(n-4) +116*a(n-5) -40*a(n-6) +124*a(n-7) -172*a(n-8) +16*a(n-9) -48*a(n-10) +64*a(n-11) for n>13

Example

Some solutions for n=4
..0..1..0..2. .0..1..2..0. .0..1..0..1. .0..1..0..1. .0..1..0..2
..0..1..0..2. .2..1..2..0. .0..2..0..2. .0..2..0..2. .0..2..0..1
..2..1..0..1. .0..1..2..0. .1..2..0..2. .1..2..0..2. .0..1..0..1
..0..1..0..2. .2..0..2..1. .1..2..1..2. .0..2..0..1. .0..1..0..1

Crossrefs

Cf. A276299.

Sequence in context: A270989 A272557 A370660 * A272146 A372218 A034569

Adjacent sequences: A276292 A276293 A276294 * A276296 A276297 A276298

Keyword

nonn

Author

R. H. Hardin, Aug 28 2016

Status

approved