A254894 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally and vertically

512, 2540, 2540, 9560, 8944, 9560, 35272, 35296, 35296, 35272, 123448, 149931, 171400, 149931, 123448, 404672, 516726, 822072, 822072, 516726, 404672, 1267488, 1662439, 2580056, 4577708, 2580056, 1662439, 1267488, 3838248, 5009638, 8115610

Offset

1,1

Comments

Table starts

......512......2540......9560......35272.....123448.....404672.....1267488

.....2540......8944.....35296.....149931.....516726....1662439.....5009638

.....9560.....35296....171400.....822072....2580056....8115610....23589212

....35272....149931....822072....4577708...15790369...51232136...141957783

...123448....516726...2580056...15790369...42268052..112212755...285887828

...404672...1662439...8115610...51232136..112212755..290329276...758297009

..1267488...5009638..23589212..141957783..285887828..758297009..1890553676

..3838248..14250367..59995430..315713348..618934541.1538743336..3588219247

.11314584..38915696.145387986..681770400.1350494500.3144214353..7194007206

.32633748.101553961.331801795.1433996470.2846403490.6262873752.14018941983

Links

R. H. Hardin, Table of n, a(n) for n = 1..240

Formula

Empirical for column k:

k=1: [linear recurrence of order 43] for n>46

Example

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

Crossrefs

Column 1 is A254013

Sequence in context: A254838 A257784 A254020 * A254013 A255036 A256954

Adjacent sequences: A254891 A254892 A254893 * A254895 A254896 A254897

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 10 2015

Status

approved