A198978 Number of nX4 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor

5, 481, 146286, 53082012, 19622872903, 7267830860056, 2692353648978984, 997397244990907738, 369492074075459555844, 136880688981914387733120, 50708322978926251631508008, 18785221234054066344117511329

Offset

1,1

Comments

Column 4 of A198982

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 454*a(n-1) -33435*a(n-2) +955655*a(n-3) -13146749*a(n-4) +95351613*a(n-5) -373512375*a(n-6) +780821577*a(n-7) -866661210*a(n-8) +478426797*a(n-9) -102202326*a(n-10)

Example

Some solutions with all values from 0 to 5 for n=5
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1
..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0
..2..3..0..1....2..3..0..1....2..3..0..1....2..3..0..1....2..1..0..3
..0..4..3..5....0..1..4..3....4..1..5..3....4..5..4..3....0..3..4..2
..1..5..2..1....4..5..3..1....5..3..4..0....3..4..5..0....5..2..3..0

Crossrefs

Sequence in context: A262384 A024071 A321939 * A206502 A198249 A160363

Adjacent sequences: A198975 A198976 A198977 * A198979 A198980 A198981

Keyword

nonn

Author

R. H. Hardin Nov 01 2011

Status

approved