A236798 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal

81, 255, 255, 825, 1231, 825, 2817, 6217, 6217, 2817, 9717, 34163, 47831, 34163, 9717, 34317, 191657, 420133, 420133, 191657, 34317, 122305, 1116735, 3722333, 6154349, 3722333, 1116735, 122305, 442285, 6597729, 34857701, 89430035, 89430035

Offset

1,1

Comments

Table starts

......81........255..........825...........2817..............9717

.....255.......1231.........6217..........34163............191657

.....825.......6217........47831.........420133...........3722333

....2817......34163.......420133........6154349..........89430035

....9717.....191657......3722333.......89430035........2074360867

...34317....1116735.....34857701.....1381705469.......51617074157

..122305....6597729....327044595....21112919819.....1250715634759

..442285...39752795...3142571647...330530592515....31213918081267

.1612085..241456349..30163324455..5132785239389...766423213825979

.5935493.1481423855.292580627371.80558311836989.19091407245029811

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 20]

k=2: [order 38]

k=3: [order 83]

Example

Some solutions for n=3 k=4
..0..1..2..1..1....0..0..2..0..2....0..0..1..1..1....0..2..0..2..1
..2..0..0..1..1....2..2..2..2..0....1..1..1..0..0....0..2..0..2..0
..1..1..2..1..1....0..2..0..2..2....0..1..0..1..1....2..0..2..0..2
..2..0..1..0..2....2..1..2..2..0....1..1..1..1..0....2..0..2..2..0

Crossrefs

Sequence in context: A225020 A219131 A236789 * A237067 A236782 A236791

Adjacent sequences: A236795 A236796 A236797 * A236799 A236800 A236801

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2014

Status

approved