A263558 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with each row and column divisible by 7, read as a base-5 number with top and left being the most significant digits.

4, 10, 10, 40, 123, 40, 148, 2210, 2210, 148, 592, 38765, 198581, 38765, 592, 2344, 695964, 17320937, 17320937, 695964, 2344, 9376, 12496675, 1552603242, 7482387694, 1552603242, 12496675, 9376, 37456, 224917356, 139465708673

Offset

1,1

Comments

Table starts

....4........10.............40................148.....................592

...10.......123...........2210..............38765..................695964

...40......2210.........198581...........17320937..............1552603242

..148.....38765.......17320937.........7482387694...........3329112703479

..592....695964.....1552603242......3329112703479........7393696581915805

.2344..12496675...139465708673...1485319362369333....16473999532359734173

.9376.224917356.12550664907064.663874095310569770.36782403381406660654696

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) +2*a(n-2) -8*a(n-3)

k=2: [order 47]

Example

Some solutions for n=3 k=4
..0..1..0..1..3....0..1..0..0..1....0..2..4..2..4....0..1..2..2..4
..0..4..2..2..0....0..3..0..4..4....0..0..4..2..2....0..3..2..0..2
..0..1..2..0..0....0..0..4..2..2....0..1..1..3..3....0..4..4..4..3
..0..1..3..0..3....0..3..1..2..3....0..4..4..0..2....0..4..2..3..2

Crossrefs

Sequence in context: A184277 A264163 A223165 * A343092 A346751 A292910

Adjacent sequences: A263555 A263556 A263557 * A263559 A263560 A263561

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 21 2015

Status

approved