A208256 Number of nX6 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors

122, 49152, 19566912, 7782199824, 3094987890864, 1230875651548608, 489518751475118880, 194681408759751734640, 77424717204435400421520, 30791778589670316720418080, 12245877840416847143166208896

Offset

1,1

Comments

Column 6 of A208258

Links

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

Formula

Empirical: a(n) = 483*a(n-1) -37260*a(n-2) +1406078*a(n-3) -32825379*a(n-4) +522499249*a(n-5) -5935275892*a(n-6) +48955308778*a(n-7) -292045494268*a(n-8) +1227794612112*a(n-9) -3438890819616*a(n-10) +5747863337984*a(n-11) -4538037229568*a(n-12) +808526872576*a(n-13) +1304252383232*a(n-14) -1133951057920*a(n-15) +395539644416*a(n-16) -52613349376*a(n-17) for n>18

Example

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

Crossrefs

Sequence in context: A280678 A209105 A223131 * A198714 A199653 A241112

Adjacent sequences: A208253 A208254 A208255 * A208257 A208258 A208259

Keyword

nonn

Author

R. H. Hardin Feb 24 2012

Status

approved