A235416 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise

256, 2400, 2400, 22500, 64848, 22500, 162000, 1826923, 1826923, 162000, 1166400, 37684700, 149643266, 37684700, 1166400, 7157160, 782294899, 9676094946, 9676094946, 782294899, 7157160, 43917129, 12863400296, 623604857055

Offset

1,1

Comments

Table starts

........256..........2400............22500............162000............1166400

.......2400.........64848..........1826923..........37684700..........782294899

......22500.......1826923........149643266........9676094946.......623604857055

.....162000......37684700.......9676094946.....2164987528892....482514486123747

....1166400.....782294899.....623604857055...482514486123747.362765302632826610

....7157160...12863400296...32662713888028.90234375246775523

...43917129..211918008383.1724073736174640

..242230104.2916338598826

.1336048704

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 40]

Example

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

Crossrefs

Column 1 is A204303

Sequence in context: A207300 A205020 A204309 * A235261 A236087 A204303

Adjacent sequences: A235413 A235414 A235415 * A235417 A235418 A235419

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2014

Status

approved