A254922 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

512, 2812, 2812, 14184, 19890, 14184, 65548, 127758, 127758, 65548, 294960, 705398, 1041262, 705398, 294960, 1302500, 3788492, 6104373, 6104373, 3788492, 1302500, 5646340, 20154545, 34618330, 28576911, 34618330, 20154545, 5646340, 24197932

Offset

1,1

Comments

Table starts

.......512........2812........14184........65548........294960.......1302500

......2812.......19890.......127758.......705398.......3788492......20154545

.....14184......127758......1041262......6104373......34618330.....191418723

.....65548......705398......6104373.....28576911.....125133209.....522548222

....294960.....3788492.....34618330....125133209.....549282376....2236028616

...1302500....20154545....191418723....522548222....2236028616....7539746842

...5646340...104789699...1047501844...2099821580....9583362322...25105585331

..24197932...539308818...5778928560...8236950077...44653950736...94832985856

.102910460..2760965456..32046146646..31737889660..218406067654..330074130597

.435448220.14069458108.178170179340.121553190757.1088639875593.1060499897124

Links

R. H. Hardin, Table of n, a(n) for n = 1..683

Formula

Empirical for column k:

k=1: [linear recurrence of order 17]

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

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

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

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

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

Example

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

Crossrefs

Sequence in context: A254260 A254306 A258530 * A254253 A254915 A257154

Adjacent sequences: A254919 A254920 A254921 * A254923 A254924 A254925

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 10 2015

Status

approved