A236987 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal

256, 888, 888, 3000, 3852, 3000, 11388, 16212, 16212, 11388, 43096, 85064, 78976, 85064, 43096, 171036, 429108, 556322, 556322, 429108, 171036, 680872, 2380742, 3448154, 6304776, 3448154, 2380742, 680872, 2770540, 12891190, 26255552

Offset

1,1

Comments

Table starts

......256........888........3000..........11388............43096

......888.......3852.......16212..........85064...........429108

.....3000......16212.......78976.........556322..........3448154

....11388......85064......556322........6304776.........59328026

....43096.....429108.....3448154.......59328026........759273578

...171036....2380742....26255552......750471960......15309352326

...680872...12891190...180781130.....8305755418.....246840494018

..2770540...73033832..1407433782...107840744274....5107452443634

.11314280..407662600.10159143566..1291740741806...92601167163795

.46745212.2333365070.79598995100.16958036927472.1917855806319638

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 37]

k=2: [order 92]

Example

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

Crossrefs

Sequence in context: A253822 A258733 A209381 * A236980 A224975 A237090

Adjacent sequences: A236984 A236985 A236986 * A236988 A236989 A236990

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 02 2014

Status

approved