A237481 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock equal

81, 331, 331, 1337, 2529, 1337, 5819, 19175, 19175, 5819, 25665, 160005, 273756, 160005, 25665, 116187, 1361797, 4384979, 4384979, 1361797, 116187, 532185, 11938523, 71061267, 135347721, 71061267, 11938523, 532185, 2467403, 105900839

Offset

1,1

Comments

Table starts

.......81.........331...........1337...............5819.................25665

......331........2529..........19175.............160005...............1361797

.....1337.......19175.........273756............4384979..............71061267

.....5819......160005........4384979..........135347721............4188037863

....25665.....1361797.......71061267.........4188037863..........244543486040

...116187....11938523.....1184249828.......132748335297........14599663417999

...532185...105900839....19835148309......4208355146361.......868139379770175

..2467403...950031897...334897261287....134202687618205.....51894532499038489

.11527361..8571447311..5664023361820...4277984976206545...3096658579246734659

.54215595.77703482543.96038927867955.136603366590475107.185083514232316446680

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 15]

k=2: [order 30]

k=3: [order 73]

Example

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

Crossrefs

Sequence in context: A237511 A237504 A222162 * A237474 A237868 A237861

Adjacent sequences: A237478 A237479 A237480 * A237482 A237483 A237484

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2014

Status

approved