A236902 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal

81, 339, 339, 1426, 3205, 1426, 6545, 30644, 30644, 6545, 30727, 337861, 588459, 337861, 30727, 148966, 3782769, 13845208, 13845208, 3782769, 148966, 734805, 43538228, 316943905, 715994489, 316943905, 43538228, 734805, 3679063

Offset

1,1

Comments

Table starts

.......81..........339.............1426.................6545

......339.........3205............30644...............337861

.....1426........30644...........588459.............13845208

.....6545.......337861.........13845208............715994489

....30727......3782769........316943905..........35006442815

...148966.....43538228.......7481102325........1767780514348

...734805....504121651.....175715346236.......88420063405403

..3679063...5869125835....4145228790666.....4442899040820873

.18601074..68447883704...97710106028444...222905331146478698

.94728601.799193185177.2304635974701835.11190912028368216391

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 22]

k=3: [order 41]

k=4: [order 86]

Example

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

Crossrefs

Sequence in context: A237474 A237868 A237861 * A236895 A237965 A238046

Adjacent sequences: A236899 A236900 A236901 * A236903 A236904 A236905

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2014

Status

approved