A237093 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal

303, 1735, 10466, 66831, 428497, 2832722, 18682733, 125843583, 844258374, 5747581507, 38959859799, 266780373966, 1819543862147, 12497585083387, 85550631105026, 588510997758869, 4037376346765561, 27793795792256912

Offset

1,1

Comments

Column 2 of A237099

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -33*a(n-2) -942*a(n-3) +5519*a(n-4) +9822*a(n-5) -147568*a(n-6) +170826*a(n-7) +1482255*a(n-8) -3807734*a(n-9) -6026381*a(n-10) +27536576*a(n-11) +4621373*a(n-12) -101103639*a(n-13) +39805818*a(n-14) +215531556*a(n-15) -144788130*a(n-16) -282774890*a(n-17) +228947844*a(n-18) +232233520*a(n-19) -197348088*a(n-20) -116570680*a(n-21) +94032480*a(n-22) +32544624*a(n-23) -22765248*a(n-24) -3769056*a(n-25) +2180160*a(n-26)

Example

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

Crossrefs

Sequence in context: A252605 A252598 A252597 * A236813 A332130 A291132

Adjacent sequences: A237090 A237091 A237092 * A237094 A237095 A237096

Keyword

nonn

Author

R. H. Hardin, Feb 03 2014

Status

approved