A263333 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each row and column divisible by 11, read as a base-3 number with top and left being the most significant digits.

1, 1, 1, 3, 6, 3, 9, 38, 38, 9, 23, 226, 1013, 226, 23, 51, 1620, 11447, 11447, 1620, 51, 133, 12653, 232939, 614393, 232939, 12653, 133, 399, 100234, 5387677, 38059944, 38059944, 5387677, 100234, 399, 1321, 805414, 123078860

Offset

1,4

Comments

Table starts

...1......1.......3........9.......23......51.......133....399.1321

...1......6......38......226.....1620...12653....100234.805414

...3.....38....1013....11447...232939.5387677.123078860

...9....226...11447...614393.38059944

..23...1620..232939.38059944

..51..12653.5387677

.133.100234

.399

Links

Table of n, a(n) for n=1..39.

Formula

Empirical for column k:

k=1: [linear recurrence of order 26]

Example

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

Crossrefs

Sequence in context: A019918 A260303 A055373 * A328371 A134440 A129529

Adjacent sequences: A263330 A263331 A263332 * A263334 A263335 A263336

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 15 2015

Status

approved