A222277 Number of n X 4 0..5 arrays with no entry increasing mod 6 by 5 rightwards or downwards, starting with upper left zero.

125, 46305, 17153945, 6354787485, 2354171487645, 872117822449905, 323081602357856985, 119687637492011211885, 44339047670574481807485, 16425682631297501047982145, 6084998755694142903356375385

Offset

1,1

Comments

Column 4 of A222281.

Links

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

Formula

Empirical: a(n) = 399*a(n-1) - 10749*a(n-2) + 64767*a(n-3).

Empirical g.f.: 5*x*(25 - 714*x + 4375*x^2) / (1 - 399*x + 10749*x^2 - 64767*x^3). - Colin Barker, Mar 14 2018

Example

Some solutions for n=3:
..0..0..0..0....0..0..0..0....0..3..0..0....0..0..0..0....0..0..0..0
..4..1..3..0....0..0..3..0....2..0..0..2....1..3..0..2....2..0..0..0
..2..3..4..1....4..1..1..3....0..2..2..0....2..5..1..5....3..4..0..2

Crossrefs

Cf. A222281.

Sequence in context: A086704 A163596 A194654 * A013783 A030697 A265623

Adjacent sequences: A222274 A222275 A222276 * A222278 A222279 A222280

Keyword

nonn

Author

R. H. Hardin, Feb 14 2013

Status

approved