A251905 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5

1652, 2596, 2596, 3312, 1548, 3312, 5264, 1586, 1586, 5264, 9208, 1962, 1536, 1962, 9208, 16532, 3910, 2772, 2772, 3910, 16532, 23868, 6744, 6408, 4208, 6408, 6744, 23868, 39884, 9830, 10662, 10266, 10266, 10662, 9830, 39884, 71752, 18590, 16848

Offset

1,1

Comments

Table starts

...1652..2596...3312...5264....9208...16532...23868....39884....71752....133166

...2596..1548...1586...1962....3910....6744....9830....18590....34826.....59814

...3312..1586...1536...2772....6408...10662...16848....35992....68496....124364

...5264..1962...2772...4208...10266...17976...28288....66216...121684....210948

...9208..3910...6408..10266...30504...61686..101508...274648...604412...1157444

..16532..6744..10662..17976...61686..120984..202792...630776..1468994...2840656

..23868..9830..16848..28288..101508..202792..325504..1183404..2519780...4658222

..39884.18590..35992..66216..274648..630776.1183404..4618864.11820480..26443744

..71752.34826..68496.121684..604412.1468994.2519780.11820480.31618896..68114556

.133166.59814.124364.210948.1157444.2840656.4658222.26443744.68114556.127303080

Links

R. H. Hardin, Table of n, a(n) for n = 1..644

Formula

Empirical for column k:

k=1: [linear recurrence of order 35] for n>45

k=2: [order 26] for n>33

k=3: [order 26] for n>30

k=4: [order 33] for n>37

k=5: [order 36] for n>40

k=6: [order 44] for n>48

k=7: [order 54] for n>58

Example

Some solutions for n=4 k=4
..3..3..0..0..2..1....1..0..1..0..2..0....1..2..0..1..1..1....2..0..1..0..1..0
..0..2..1..3..3..0....3..0..3..0..3..0....0..3..0..3..0..3....3..0..3..0..3..0
..3..3..0..0..2..1....3..1..3..2..3..2....2..3..1..3..2..3....3..1..3..2..3..1
..0..2..1..3..3..0....0..2..0..1..0..1....1..0..2..0..1..0....0..2..0..1..0..2
..3..3..0..0..1..2....0..3..0..3..0..3....3..0..3..0..3..0....0..3..0..3..0..3
..0..1..2..3..3..1....2..3..2..3..1..3....2..2..3..2..2..2....1..3..2..3..1..3

Crossrefs

Sequence in context: A203864 A154075 A251897 * A251898 A250929 A054809

Adjacent sequences: A251902 A251903 A251904 * A251906 A251907 A251908

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 10 2014

Status

approved