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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 19 18:35 EDT 2022. Contains 353847 sequences. (Running on oeis4.)