A254998 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 medians of the central row and column nondecreasing horizontally and vertically.

512, 2679, 2679, 10762, 14320, 10762, 44548, 70331, 70331, 44548, 193488, 369357, 503440, 369357, 193488, 827673, 1939341, 3575520, 3575520, 1939341, 827673, 3456356, 10216539, 24807024, 32507240, 24807024, 10216539, 3456356, 14347670

Offset

1,1

Comments

Table starts

......512.......2679.......10762.........44548.........193488...........827673

.....2679......14320.......70331........369357........1939341.........10216539

....10762......70331......503440.......3575520.......24807024........173958123

....44548.....369357.....3575520......32507240......279655310.......2437254993

...193488....1939341....24807024.....279655310.....2907772796......31738435946

...827673...10216539...173958123....2437254993....31738435946.....446654943404

..3456356...54357112..1221043730...21345394571...351447919966....6335613688670

.14347670..289904665..8537684121..185809115750..3833363797172...88118860757033

.59706588.1544994778.59658144024.1614349898421.41743093666360.1226510345770217

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical for column k:

k=1: [linear recurrence of order 50] for n>54

Example

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

Crossrefs

Sequence in context: A254989 A254982 A258511 * A254991 A186840 A224643

Adjacent sequences: A254995 A254996 A254997 * A254999 A255000 A255001

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2015

Status

approved