A263459 Number of (n+1) X (1+1) 0..4 arrays with each row and column divisible by 11, read as a base-5 number with top and left being the most significant digits.

2, 3, 8, 23, 67, 200, 597, 1790, 5369, 16105, 48314, 144939, 434816, 1304447, 3913339, 11740016, 35220045, 105660134, 316980401, 950941201, 2852823602, 8558470803, 25675412408, 77026237223, 231078711667, 693236135000, 2079708404997

Offset

1,1

Links

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

Formula

Empirical: a(n) = 3*a(n-1) + a(n-5) - 3*a(n-6).

Empirical g.f.: x*(2 - 3*x - x^2 - x^3 - 2*x^4 - 3*x^5) / ((1 - x)*(1 - 3*x)*(1 + x + x^2 + x^3 + x^4)). - Colin Barker, Jan 01 2019

Example

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

Crossrefs

Column 1 of A263464.

Sequence in context: A006796 A241904 A006076 * A261061 A086628 A365118

Adjacent sequences: A263456 A263457 A263458 * A263460 A263461 A263462

Keyword

nonn

Author

R. H. Hardin, Oct 19 2015

Status

approved