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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 26 10:01 EDT 2022. Contains 354879 sequences. (Running on oeis4.)