A230567 Number of n X 4 0..4 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero.

0, 0, 2, 32, 430, 5130, 58474, 651686, 7178552, 78592384, 857649018, 9342873590, 101681863220, 1106080305618, 12028491947322, 130789127977940, 1421993157520604, 15459828710015176, 168074470099844112

Offset

1,3

Links

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

Formula

Empirical: a(n) = 17*a(n-1) - 66*a(n-2) - 12*a(n-3) + 13*a(n-4) + 476*a(n-5) - 44*a(n-6) + a(n-7).

Empirical g.f.: 2*x^3*(1 - x + 9*x^2 - 22*x^3 + x^4) / (1 - 17*x + 66*x^2 + 12*x^3 - 13*x^4 - 476*x^5 + 44*x^6 - x^7). - Colin Barker, Sep 22 2018

Example

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

Crossrefs

Column 4 of A230571.

Sequence in context: A191467 A370828 A282881 * A340345 A230683 A294328

Adjacent sequences: A230564 A230565 A230566 * A230568 A230569 A230570

Keyword

nonn

Author

R. H. Hardin, Oct 23 2013

Status

approved