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

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

R. H. Hardin, Table of n, a(n) for n = 1..179

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

Adjacent sequences: A254986 A254987 A254988 * A254990 A254991 A254992

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2015

Status

approved