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A252065 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4 9
125, 200, 200, 383, 346, 383, 843, 817, 817, 843, 1948, 2081, 2349, 2081, 1948, 4569, 5610, 7463, 7463, 5610, 4569, 10836, 15593, 25220, 30182, 25220, 15593, 10836, 25739, 43618, 86642, 126936, 126936, 86642, 43618, 25739, 61193, 122839, 299027 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....125....200......383.......843.......1948........4569........10836

....200....346......817......2081.......5610.......15593........43618

....383....817.....2349......7463......25220.......86642.......299027

....843...2081.....7463.....30182.....126936......539063......2292363

...1948...5610....25220....126936.....664938.....3510697.....18508976

...4569..15593....86642....539063....3510697....23078709....151165482

..10836..43618...299027...2292363...18508976...151165482...1229012088

..25739.122839..1035506...9773184...97654871...990282975...9989905340

..61193.347075..3595103..41735229..516198206..6500999078..81383095801

.145794.981466.12486601.178241990.2730269271.42695261900.663247905243

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..263

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 23] for n>24

k=2: [order 30] for n>32

k=3: [order 41] for n>46

k=4: [order 59] for n>63

k=5: [order 98] for n>103

EXAMPLE

Some solutions for n=4 k=4

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

..1..2..2..2..2..2....2..1..2..2..2..1....2..2..2..2..2..2....2..1..2..2..1..2

..2..2..1..2..2..2....2..2..2..1..2..2....2..2..2..2..2..1....1..2..2..2..2..2

..2..2..2..2..1..2....2..2..2..2..2..2....1..2..2..2..2..2....2..2..2..2..2..2

..2..1..2..2..2..2....1..2..2..2..1..2....2..1..2..2..2..2....2..2..2..2..2..1

..2..2..2..1..2..2....2..2..2..2..2..2....2..2..1..2..2..1....2..1..2..2..1..2

CROSSREFS

Sequence in context: A307515 A038513 A251125 * A252058 A038867 A029782

Adjacent sequences:  A252062 A252063 A252064 * A252066 A252067 A252068

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 13 2014

STATUS

approved

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Last modified August 12 05:33 EDT 2020. Contains 336438 sequences. (Running on oeis4.)