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A251467 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column 8
46, 168, 168, 602, 738, 602, 1908, 3142, 3142, 1908, 5926, 11134, 15719, 11134, 5926, 17424, 38509, 62309, 62309, 38509, 17424, 50306, 120982, 239572, 268559, 239572, 120982, 50306, 141792, 373380, 809934, 1125843, 1125843, 809934, 373380, 141792 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......46.....168......602......1908.......5926.......17424.......50306

.....168.....738.....3142.....11134......38509......120982......373380

.....602....3142....15719.....62309.....239572......809934.....2678350

....1908...11134....62309....268559....1125843.....4053903....14306546

....5926...38509...239572...1125843....5145888....19854533....75006354

...17424..120982...809934...4053903...19854533....80967696...324243821

...50306..373380..2678350..14306546...75006354...324243821..1378354755

..141792.1094071..8222849..46070347..255126617..1156109395..5171467239

..392326.3155436.24796090.145984578..853011914..4058563375.19112759465

.1077744.8863194.71644353.437418593.2668157253.13208174936.64992838581

LINKS

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

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 36]

k=3: [order 61]

k=4: [order 77]

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..1..1....0..1..0..1..2....0..0..0..1..0....0..0..0..0..0

..0..1..0..1..2....0..2..0..2..2....1..1..1..1..1....1..1..1..1..1

..1..0..2..0..2....0..1..0..1..2....1..0..1..2..1....0..1..2..1..2

..0..1..0..1..2....0..2..2..2..2....2..0..2..2..2....1..1..1..1..1

CROSSREFS

Sequence in context: A044759 A223607 A189809 * A251460 A235767 A192850

Adjacent sequences:  A251464 A251465 A251466 * A251468 A251469 A251470

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 02 2014

STATUS

approved

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Last modified October 23 10:17 EDT 2021. Contains 348211 sequences. (Running on oeis4.)