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A254907 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally 15
512, 2423, 2423, 7579, 5939, 7579, 22901, 14137, 13444, 22901, 72249, 40492, 24358, 36387, 72249, 219706, 109250, 50697, 54081, 81620, 219706, 616608, 258031, 86176, 90730, 59885, 146168, 616608, 1656147, 576326, 138819, 131204, 67266, 56618 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......512....2423..7579.22901..72249.219706.616608.1656147.4391684.11530065
.....2423....5939.14137.40492.109250.258031.576326.1231872.2547861..5124950
.....7579...13444.24358.50697..86176.138819.230095..343854..487927...682152
....22901...36387.54081.90730.131204.163974.215089..239280..260856...309878
....72249...81620.59885.67266..61769..62640..74027...76671...77098....90779
...219706..146168.56618.38461..21730..20173..16945...15221...16516....19402
...616608..268310.73167.38752..21843..16493..10974...10203...10488....11818
..1656147..501323.84033.31692..14379..10902..10344....9502....9744....10679
..4391684..877772.87145.28351..11427..10093..10525....9867....9786....10664
.11530065.1500214.95312.28788..12218..10262..10331....9567....9645....10684
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 44] for n>50
Empirical for row n:
n=1: [same linear recurrence of order 44] for n>50
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0..0..1....0..1..0..0..1..1....0..1..0..0..1..0....1..0..0..0..0..0
..1..0..0..1..1..1....0..1..1..1..1..0....0..0..0..0..0..0....1..0..0..0..0..1
..0..0..0..0..0..1....0..1..0..0..1..1....1..0..0..1..1..1....0..0..0..1..1..1
..0..0..1..1..1..0....1..1..0..0..1..1....1..1..1..1..0..1....0..1..0..1..1..0
..1..1..1..0..1..0....1..1..1..1..1..0....1..0..0..1..1..1....0..1..0..1..1..0
..0..1..1..0..0..0....1..0..0..1..1..0....0..0..1..1..1..0....1..1..1..0..0..1
CROSSREFS
Sequence in context: A258519 A254568 A254561 * A257209 A254900 A253841
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 10 2015
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)