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A252457 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7 9
661, 228, 228, 323, 334, 323, 747, 959, 959, 747, 1731, 2643, 3366, 2643, 1731, 3938, 7223, 11334, 11334, 7223, 3938, 9013, 20242, 38966, 48170, 38966, 20242, 9013, 20820, 56643, 134907, 203320, 203320, 134907, 56643, 20820, 48122, 157904, 464384 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....661.....228......323.......747.......1731........3938..........9013

....228.....334......959......2643.......7223.......20242.........56643

....323.....959.....3366.....11334......38966......134907........464384

....747....2643....11334.....48170.....203320......863351.......3675259

...1731....7223....38966....203320....1058050.....5596619......29527662

...3938...20242...134907....863351....5596619....36760486.....240708592

...9013...56643...464384...3675259...29527662...240708592....1956458824

..20820..157904..1603397..15672575..155721485..1577703429...15909752456

..48122..441732..5553753..66857788..823647387.10367458379..129736526156

.111079.1236191.19211480.285055325.4355427974.68072122171.1057338390851

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 17] for n>20

k=2: [order 22] for n>25

k=3: [order 44] for n>47

k=4: [order 69] for n>73

EXAMPLE

Some solutions for n=4 k=4

..3..1..1..1..3..1....2..3..3..3..2..3....3..3..3..3..3..3....1..1..1..1..3..1

..3..1..1..1..1..1....3..3..2..3..3..3....3..3..3..3..3..3....3..1..1..1..1..1

..3..1..1..3..1..1....3..3..3..3..3..2....3..3..3..3..3..3....1..1..1..1..1..3

..3..1..1..1..1..3....3..2..3..3..3..3....3..3..3..3..3..3....1..3..1..1..1..1

..3..1..1..1..1..1....3..3..3..3..3..3....2..3..3..3..3..2....1..1..1..1..3..1

..3..1..1..1..1..1....3..3..2..3..3..2....3..3..3..2..3..3....1..1..3..1..1..1

CROSSREFS

Sequence in context: A204534 A235553 A342994 * A252450 A252449 A252401

Adjacent sequences:  A252454 A252455 A252456 * A252458 A252459 A252460

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)