A253533 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically

81, 459, 459, 1963, 2722, 1963, 7253, 9255, 9255, 7253, 25165, 27070, 22418, 27070, 25165, 85663, 71333, 62237, 62237, 71333, 85663, 291511, 176266, 142679, 182493, 142679, 176266, 291511, 997121, 416901, 327147, 398710, 398710, 327147, 416901

Offset

1,1

Comments

Table starts

.......81.....459....1963.....7253....25165....85663....291511....997121

......459....2722....9255....27070....71333...176266....416901....955594

.....1963....9255...22418....62237...142679...327147....700492...1477077

.....7253...27070...62237...182493...398710...949158...2008246...4342893

....25165...71333..142679...398710...745281..1744459...3362641...7208222

....85663..176266..327147...949158..1744459..4292539...8304638..18590483

...291511..416901..700492..2008246..3362641..8304638..14461240..32033588

...997121..955594.1477077..4342893..7208222.18590483..32033588..74067255

..3427953.2141571.3032758..8951319.14186738.37412196..59607552.139286102

.11826315.4715371.6133637.18483480.29111786.79632497.124813784.303938928

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Formula

Empirical for column k:

k=1: [linear recurrence of order 8]

k=2: [order 17] for n>27

k=3: [order 20] for n>29

k=4: [order 18] for n>31

k=5: [order 23] for n>40

k=6: [order 21] for n>42

k=7: [order 27] for n>52

Example

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

Crossrefs

Sequence in context: A236669 A205208 A236664 * A183971 A253526 A183963

Adjacent sequences: A253530 A253531 A253532 * A253534 A253535 A253536

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 03 2015

Status

approved