A237204 Number of (n+1)X(1+1) 0..3 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal

256, 1160, 5130, 24478, 117800, 581660, 2899672, 14622828, 74221442, 379011938, 1943105940, 9995615812, 51540572228, 266280874056, 1377680005346, 7136186380294, 36996972790464, 191948376504236, 996437723581040

Offset

1,1

Comments

Column 1 of A237211

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 20*a(n-1) -80*a(n-2) -906*a(n-3) +7794*a(n-4) +8172*a(n-5) -244035*a(n-6) +300322*a(n-7) +4098296*a(n-8) -10054622*a(n-9) -42612260*a(n-10) +147652688*a(n-11) +293210128*a(n-12) -1340000744*a(n-13) -1394705632*a(n-14) +8282256640*a(n-15) +4845136768*a(n-16) -36284443840*a(n-17) -13676892416*a(n-18) +114105431296*a(n-19) +35979565056*a(n-20) -255448962048*a(n-21) -87993038848*a(n-22) +394876301312*a(n-23) +168883527680*a(n-24) -396779175936*a(n-25) -215149871104*a(n-26) +231483965440*a(n-27) +159506235392*a(n-28) -60435726336*a(n-29) -58549862400*a(n-30) +406847488*a(n-31) +7709130752*a(n-32) +1409286144*a(n-33)

Example

Some solutions for n=5
..0..1....1..0....2..2....1..2....0..1....1..1....2..1....2..1....0..3....2..3
..1..1....3..2....3..2....3..0....1..1....0..0....2..3....2..1....0..1....0..1
..0..2....1..0....1..1....2..1....2..3....1..1....2..3....1..2....1..0....2..3
..2..0....3..2....2..2....2..0....2..2....0..0....3..2....2..1....0..1....2..3
..1..1....2..1....3..2....1..2....0..0....2..1....2..3....0..1....3..0....3..2
..1..0....2..3....0..0....2..2....2..3....0..0....1..2....2..1....1..0....0..1

Crossrefs

Sequence in context: A206118 A206111 A237211 * A237007 A237000 A236979

Adjacent sequences: A237201 A237202 A237203 * A237205 A237206 A237207

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved