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A263373 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits. 9
1, 1, 1, 2, 2, 2, 5, 7, 7, 5, 10, 29, 82, 29, 10, 19, 112, 865, 865, 112, 19, 37, 367, 9888, 24711, 9888, 367, 37, 73, 1359, 107514, 826249, 826249, 107514, 1359, 73, 146, 5370, 1260442, 27274339, 84790557, 27274339, 1260442, 5370, 146, 293, 21447, 15048493 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

...1.....1..........2.............5.............10..............19

...1.....2..........7............29............112.............367

...2.....7.........82...........865...........9888..........107514

...5....29........865.........24711.........826249........27274339

..10...112.......9888........826249.......84790557......8491666657

..19...367.....107514......27274339.....8491666657...2535097569590

..37..1359....1260442.....943196037...883978450474.787253224440475

..73..5370...15048493...32850517101.92359613590072

.146.21447..180640864.1149496602927

.293.86013.2167406803

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +3*a(n-3) -3*a(n-4) +3*a(n-5) -2*a(n-6)

k=2: a(n) = 4*a(n-1) +101*a(n-6) -404*a(n-7) -2159*a(n-12) +8636*a(n-13) +2059*a(n-18) -8236*a(n-19)

EXAMPLE

Some solutions for n=4 k=4

..1..2..2..0..1....1..1..0..1..1....2..2..0..0..1....0..2..1..2..1

..2..1..2..1..0....2..2..1..2..0....1..2..2..0..1....2..2..2..1..1

..2..1..0..0..0....2..1..0..2..1....0..0..0..0..0....1..2..0..1..2

..2..1..0..2..1....2..1..0..0..0....0..0..0..2..1....2..1..1..1..2

..2..2..1..2..0....2..0..1..1..1....0..1..2..1..1....1..1..2..2..1

CROSSREFS

Sequence in context: A279515 A260338 A023569 * A145876 A240540 A039878

Adjacent sequences:  A263370 A263371 A263372 * A263374 A263375 A263376

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 16 2015

STATUS

approved

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Last modified October 27 09:27 EDT 2021. Contains 348272 sequences. (Running on oeis4.)