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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. 6
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 12 08:13 EDT 2021. Contains 344943 sequences. (Running on oeis4.)