A254922 - OEIS

%I #4 Feb 10 2015 10:16:03

%S 512,2812,2812,14184,19890,14184,65548,127758,127758,65548,294960,

%T 705398,1041262,705398,294960,1302500,3788492,6104373,6104373,3788492,

%U 1302500,5646340,20154545,34618330,28576911,34618330,20154545,5646340,24197932

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically

%C Table starts

%C .......512........2812........14184........65548........294960.......1302500

%C ......2812.......19890.......127758.......705398.......3788492......20154545

%C .....14184......127758......1041262......6104373......34618330.....191418723

%C .....65548......705398......6104373.....28576911.....125133209.....522548222

%C ....294960.....3788492.....34618330....125133209.....549282376....2236028616

%C ...1302500....20154545....191418723....522548222....2236028616....7539746842

%C ...5646340...104789699...1047501844...2099821580....9583362322...25105585331

%C ..24197932...539308818...5778928560...8236950077...44653950736...94832985856

%C .102910460..2760965456..32046146646..31737889660..218406067654..330074130597

%C .435448220.14069458108.178170179340.121553190757.1088639875593.1060499897124

%H R. H. Hardin, <a href="/A254922/b254922.txt">Table of n, a(n) for n = 1..683</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 17]

%F k=2: [order 47] for n>52

%F k=3: [order 52] for n>59

%F k=4: [order 63] for n>76

%F k=5: [order 62] for n>78

%F k=6: [order 72] for n>96

%e Some solutions for n=2 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 10 2015