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A263799 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nonincreasing 7
2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 7, 3, 4, 4, 4, 7, 7, 4, 4, 5, 4, 14, 7, 14, 4, 5, 5, 5, 14, 17, 17, 14, 5, 5, 6, 5, 25, 18, 61, 18, 25, 5, 6, 6, 6, 25, 56, 130, 130, 56, 25, 6, 6, 7, 6, 41, 66, 494, 616, 494, 66, 41, 6, 7, 7, 7, 41, 218, 1435, 4991, 4991, 1435, 218, 41, 7, 7, 8, 7, 63, 272 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.2.2..3...3.....4.......4........5.........5.........6..........6.........7

.2.2..3...3.....4.......4........5.........5.........6..........6.........7

.3.3..7...7....14......14.......25........25........41.........41........63

.3.3..7...7....17......18.......56........66.......218........272.......798

.4.4.14..17....61.....130......494......1435......4917......13962.....41366

.4.4.14..18...130.....616.....4991.....30130....185795....1022105...5241463

.5.5.25..56...494....4991....62904....760671...8468941...90476206.850301770

.5.5.25..66..1435...30130...760671..20141827.445862545.9910247963

.6.6.41.218..4917..185795..8468941.445862545

.6.6.41.272.13962.1022105.90476206

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

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

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

k=3: a(n) = a(n-1) +3*a(n-2) -3*a(n-3) -3*a(n-4) +3*a(n-5) +a(n-6) -a(n-7)

k=4: [order 19]

k=5: [order 37]

k=6: [order 83]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

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

CROSSREFS

Column 1 is A005578(n+1).

Sequence in context: A104307 A264029 A263873 * A299230 A182576 A128330

Adjacent sequences:  A263796 A263797 A263798 * A263800 A263801 A263802

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 26 2015

STATUS

approved

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Last modified May 26 20:51 EDT 2022. Contains 354092 sequences. (Running on oeis4.)