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A262319 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column divisible by 7, read as a binary number with top and left being the most significant bits. 6
2, 3, 3, 5, 5, 5, 10, 9, 9, 10, 19, 27, 17, 27, 19, 37, 61, 133, 133, 61, 37, 74, 145, 361, 1618, 361, 145, 74, 147, 435, 1009, 6043, 6043, 1009, 435, 147, 293, 1253, 8357, 42661, 37873, 42661, 8357, 1253, 293, 586, 3593, 33993, 683218, 413893, 413893, 683218 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....3......5.......10........19........37........74........147........293

...3.....5......9.......27........61.......145.......435.......1253.......3593

...5.....9.....17......133.......361......1009......8357......33993.....127121

..10....27....133.....1618......6043.....42661....683218....4276587...39384421

..19....61....361.....6043.....37873....413893...8003035..103003837.1659181705

..37...145...1009....42661....413893...7914829.281951533.7901300449

..74...435...8357...683218...8003035.281951533

.147..1253..33993..4276587.103003837

.293..3593.127121.39384421

.586.10779.795013

LINKS

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

FORMULA

Empirical for column k:

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

k=2: [order 15]

k=3: [order 43]

k=4: [order 29]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Column 1 is A046630.

Sequence in context: A087172 A262457 A286870 * A262488 A278530 A330332

Adjacent sequences:  A262316 A262317 A262318 * A262320 A262321 A262322

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 17 2015

STATUS

approved

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Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)