A254894 - OEIS

%I #4 Feb 10 2015 08:11:05

%S 512,2540,2540,9560,8944,9560,35272,35296,35296,35272,123448,149931,

%T 171400,149931,123448,404672,516726,822072,822072,516726,404672,

%U 1267488,1662439,2580056,4577708,2580056,1662439,1267488,3838248,5009638,8115610

%N 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

%C Table starts

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

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

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

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

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

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

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

%C ..3838248..14250367..59995430..315713348..618934541.1538743336..3588219247

%C .11314584..38915696.145387986..681770400.1350494500.3144214353..7194007206

%C .32633748.101553961.331801795.1433996470.2846403490.6262873752.14018941983

%H R. H. Hardin, <a href="/A254894/b254894.txt">Table of n, a(n) for n = 1..240</a>

%F Empirical for column k:

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

%e Some solutions for n=3 k=4

%e ..0..0..1..1..1..1....0..0..0..0..0..1....0..0..1..0..0..1....0..0..0..0..0..0

%e ..0..0..0..0..0..1....0..0..0..0..0..0....0..0..0..1..1..1....0..0..0..0..1..1

%e ..0..0..0..1..1..0....0..0..0..1..1..1....0..0..0..1..0..0....0..0..0..0..1..0

%e ..0..0..0..1..1..0....0..0..0..1..1..0....0..1..1..1..0..0....0..0..0..0..1..0

%e ..1..0..0..1..0..1....0..0..1..1..0..1....0..0..1..0..0..1....1..0..0..1..1..1

%Y Column 1 is A254013

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 10 2015