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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)