login
A263382
T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with each row and column divisible by 9, read as a base-5 number with top and left being the most significant digits.
9
2, 4, 4, 11, 38, 11, 31, 496, 496, 31, 89, 6731, 34334, 6731, 89, 253, 93378, 2332320, 2332320, 93378, 253, 748, 1302087, 161833750, 787486033, 161833750, 1302087, 748, 2214, 18221996, 11300297029, 271477636708, 271477636708, 11300297029
OFFSET
1,1
COMMENTS
Table starts
....2.........4.............11...................31........................89
....4........38............496.................6731.....................93378
...11.......496..........34334..............2332320.................161833750
...31......6731........2332320............787486033..............271477636708
...89.....93378......161833750.........271477636708...........466607833464165
..253...1302087....11300297029.......94234480080401........808208250265441905
..748..18221996...790807552035....32785038500076147....1403458538939419648545
.2214.255080336.55354924698596.11408914805662871537.2437738823003642650564362
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) +3*a(n-2) -9*a(n-3) +3*a(n-6) -9*a(n-7) -9*a(n-8) +27*a(n-9)
k=2: [order 51]
EXAMPLE
Some solutions for n=3 k=4
..0..3..0..0..3....1..3..1..2..0....0..1..3..3..1....0..3..4..0..2
..1..4..0..1..4....0..3..3..0..0....1..4..0..1..4....0..0..1..2..1
..0..0..0..0..0....0..0..1..2..1....0..1..2..1..0....0..0..3..4..4
..2..2..0..2..2....1..0..2..1..4....2..4..2..0..0....0..3..0..2..2
CROSSREFS
Sequence in context: A056415 A242993 A366045 * A286714 A368436 A366616
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 16 2015
STATUS
approved