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A262488 T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row and column divisible by 13, read as a binary number with top and left being the most significant bits. 7
2, 3, 3, 5, 5, 5, 10, 9, 9, 10, 20, 23, 17, 23, 20, 40, 63, 61, 61, 63, 40, 79, 171, 245, 389, 245, 171, 79, 158, 449, 877, 2699, 2699, 877, 449, 158, 316, 1251, 3025, 16108, 33742, 16108, 3025, 1251, 316, 631, 3753, 11357, 93941, 364259, 364259, 93941, 11357, 3753 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....3......5......10.......20........40........79......158.....316

...3.....5......9......23.......63.......171.......449.....1251....3753

...5.....9.....17......61......245.......877......3025....11357...56785

..10....23.....61.....389.....2699.....16108.....93941...601676.4905724

..20....63....245....2699....33742....364259...3810228.45013100

..40...171....877...16108...364259...6945738.128397052

..79...449...3025...93941..3810228.128397052

.158..1251..11357..601676.45013100

.316..3753..56785.4905724

.631.10361.172369

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..82

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -2*a(n-2) -a(n-6) +3*a(n-7) -2*a(n-8)

k=2: [order 47]

EXAMPLE

Some solutions for n=4 k=4

..1..0..0..0..0..0..1....1..1..1..0..1..0..1....1..1..1..0..1..0..1

..0..0..1..1..0..1..0....1..0..0..0..0..0..1....1..0..0..0..0..0..1

..0..0..1..1..0..1..0....1..0..0..0..0..0..1....0..0..0..0..0..0..0

..1..0..0..0..0..0..1....0..1..1..0..1..0..0....1..0..0..0..0..0..1

..1..0..1..1..0..1..1....1..1..1..0..1..0..1....0..0..0..0..0..0..0

..1..0..0..0..0..0..1....0..1..1..0..1..0..0....0..0..0..0..0..0..0

..0..0..0..0..0..0..0....1..0..0..0..0..0..1....0..1..1..0..1..0..0

CROSSREFS

Sequence in context: A262457 A286870 A262319 * A278530 A330332 A023816

Adjacent sequences:  A262485 A262486 A262487 * A262489 A262490 A262491

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 24 2015

STATUS

approved

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Last modified July 24 11:41 EDT 2021. Contains 346273 sequences. (Running on oeis4.)