A236601 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the upper median of every 2X2 subblock

256, 2596, 2596, 25950, 55000, 25950, 256376, 1110784, 1110784, 256376, 2525698, 21573924, 44087440, 21573924, 2525698, 24922062, 415734304, 1595240268, 1595240268, 415734304, 24922062, 246386369, 8222889690, 59688228619

Offset

1,1

Comments

Table starts

.........256..........2596..........25950..........256376..........2525698

........2596.........55000........1110784........21573924........415734304

.......25950.......1110784.......44087440......1595240268......59688228619

......256376......21573924.....1595240268....114361325908....8637812725732

.....2525698.....415734304....59688228619...8637812725732.1368429194765626

....24922062....8222889690..2315388775024.686154548079428

...246386369..162119665374.89774785525354

..2433171504.3173047388586

.24010605844

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Formula

Empirical for column k:

k=1: [linear recurrence of order 20] for n>22

Example

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

Crossrefs

Sequence in context: A205174 A188842 A188705 * A236597 A235779 A235559

Adjacent sequences: A236598 A236599 A236600 * A236602 A236603 A236604

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved