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

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

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