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A254989
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically
8
512, 2642, 2642, 10285, 12866, 10285, 39891, 56002, 56002, 39891, 160753, 273707, 319420, 273707, 160753, 639228, 1301410, 2120266, 2120266, 1301410, 639228, 2462249, 6027037, 13519728, 18875800, 13519728, 6027037, 2462249, 9299264
OFFSET
1,1
COMMENTS
Table starts
......512......2642.......10285........39891.........160753...........639228
.....2642.....12866.......56002.......273707........1301410..........6027037
....10285.....56002......319420......2120266.......13519728.........86136256
....39891....273707.....2120266.....18875800......161272580.......1365133989
...160753...1301410....13519728....161272580.....1817472551......20587404155
...639228...6027037....86136256...1365133989....20587404155.....319124131437
..2462249..28125597...562741035..11760002405...238370434022....5043778832638
..9299264.131242928..3653027246.100659927202..2733003605240...78770412758751
.34829487.611072260.23677521060.858747962899.31238845491921.1231980088879281
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 33] for n>38
EXAMPLE
Some solutions for n=2 k=4
..1..1..0..1..0..0....0..0..0..0..0..0....1..1..0..1..1..1....1..1..0..0..1..1
..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..0....0..0..0..0..0..1
..0..0..0..0..1..0....1..0..1..0..0..1....0..0..0..0..1..0....0..0..0..0..1..1
..0..0..0..1..1..1....0..0..0..0..1..0....1..1..0..0..1..0....1..1..0..0..1..1
CROSSREFS
Sequence in context: A254728 A254721 A257189 * A254982 A258511 A254998
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 11 2015
STATUS
approved