A241105 Number of nX5 0..2 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..2 introduced in row major order

8, 116, 1522, 19814, 259388, 3374086, 44030862, 574246744, 7489718098, 97685897406, 1274061880332, 16617079770494, 216729255718838, 2826706576812536, 36867513064014682, 480847045785788134

Offset

1,1

Comments

Column 5 of A241108

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +2*a(n-2) -175*a(n-3) -54*a(n-4) +1648*a(n-5) -42588*a(n-6) -24344*a(n-7) +167248*a(n-8) +247904*a(n-9) -88832*a(n-10) +33429248*a(n-11) +48635904*a(n-12) +27281408*a(n-13) -32276480*a(n-14) -600080384*a(n-15) -9134145536*a(n-16) -11089739776*a(n-17) -2071986176*a(n-18) +11282677760*a(n-19) +94019518464*a(n-20) +716320014336*a(n-21) +518617300992*a(n-22) +438086664192*a(n-23) +618475290624*a(n-24) -6597069766656*a(n-25) -17592186044416*a(n-26)

Example

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

Crossrefs

Sequence in context: A220575 A380078 A240890 * A214695 A235338 A231553

Adjacent sequences: A241102 A241103 A241104 * A241106 A241107 A241108

Keyword

nonn

Author

R. H. Hardin, Apr 16 2014

Status

approved