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

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) -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: A121049 A056415 A242993 * A286714 A186988 A186989

Adjacent sequences:  A263379 A263380 A263381 * A263383 A263384 A263385

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 16 2015

STATUS

approved

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Last modified October 23 21:23 EDT 2021. Contains 348216 sequences. (Running on oeis4.)