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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)