A263439 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with each row and column divisible by 13, read as a base-5 number with top and left being the most significant digits.

1, 2, 2, 4, 21, 4, 6, 180, 180, 6, 9, 1225, 6945, 1225, 9, 18, 9820, 230997, 230997, 9820, 18, 36, 90785, 9407092, 34701974, 9407092, 90785, 36, 61, 841164, 408471412, 7338416019, 7338416019, 408471412, 841164, 61, 106, 7551453, 18332843169

Offset

1,2

Comments

Table starts

...1........2............4...............6................9...............18

...2.......21..........180............1225.............9820............90785

...4......180.........6945..........230997..........9407092........408471412

...6.....1225.......230997........34701974.......7338416019....1734077050001

...9.....9820......9407092......7338416019....8252778348422.9899034266254567

..18....90785....408471412...1734077050001.9899034266254567

..36...841164..18332843169.411888488700205

..61..7551453.844323031241

.106.69952442

.212

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +9*a(n-4) -18*a(n-5) -14*a(n-8) +28*a(n-9) +a(n-12) -2*a(n-13)

k=2: [order 88]

Example

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

Crossrefs

Sequence in context: A288767 A287745 A287909 * A270527 A232275 A257612

Adjacent sequences: A263436 A263437 A263438 * A263440 A263441 A263442

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 18 2015

Status

approved