A236911 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal

256, 1056, 1056, 4448, 6762, 4448, 19888, 44836, 44836, 19888, 89888, 326868, 451396, 326868, 89888, 417488, 2411550, 5345722, 5345722, 2411550, 417488, 1956608, 18527054, 62508118, 109900910, 62508118, 18527054, 1956608, 9312576

Offset

1,1

Comments

Table starts

.......256........1056...........4448.............19888...............89888

......1056........6762..........44836............326868.............2411550

......4448.......44836.........451396...........5345722............62508118

.....19888......326868........5345722.........109900910..........2199548878

.....89888.....2411550.......62508118........2199548878.........72805879098

....417488....18527054......789404948.......48719331954.......2754669234544

...1956608...143619570.....9889339846.....1055219565906......99111645582536

...9312576..1138035570...129170196446....24050871268974....3815804319538310

..44619472..9082354564..1678632250620...539501655013126..141806974110918684

.215852576.73458657386.22339759369142.12433820388637890.5472746163209520482

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 44]

Example

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

Crossrefs

Sequence in context: A205595 A255663 A045034 * A236904 A206198 A237218

Adjacent sequences: A236908 A236909 A236910 * A236912 A236913 A236914

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2014

Status

approved