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A236893 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock equal 9
81, 245, 245, 781, 975, 781, 2605, 4129, 4129, 2605, 8901, 19005, 22393, 19005, 8901, 31253, 91617, 134361, 134361, 91617, 31253, 111685, 464737, 824753, 1107653, 824753, 464737, 111685, 406949, 2442897, 5371569, 9168057, 9168057, 5371569 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81.......245.........781.........2605...........8901............31253

.....245.......975........4129........19005..........91617...........464737

.....781......4129.......22393.......134361.........824753..........5371569

....2605.....19005......134361......1107653........9168057.........83876241

....8901.....91617......824753......9168057.......95406881.......1136651633

...31253....464737.....5371569.....83876241.....1136651633......18882502861

..111685...2442897....35771489....790250057....13370261977.....301396769777

..406949..13272897...248167409...8009517233...172552666157....5564630880617

.1503365..73869017..1753726713..83737435605..2249770214217..104489392927557

.5632837.419482609.12755158193.917784582345.31200328502889.2157649701194993

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 15]

k=3: [order 30]

k=4: [order 59]

EXAMPLE

Some solutions for n=3 k=4

..0..1..1..1..2....2..0..0..2..2....0..2..1..0..0....2..0..2..0..2

..1..0..0..0..1....1..2..1..0..1....1..1..0..1..1....0..1..2..1..2

..2..1..1..1..0....2..0..2..2..2....2..0..1..0..2....2..0..2..0..2

..1..0..0..2..1....1..0..1..0..1....1..1..2..1..1....1..0..1..2..1

CROSSREFS

Sequence in context: A031456 A045009 A237167 * A044986 A237160 A236886

Adjacent sequences:  A236890 A236891 A236892 * A236894 A236895 A236896

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 01 2014

STATUS

approved

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Last modified April 9 20:34 EDT 2020. Contains 333362 sequences. (Running on oeis4.)