A237385 Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median minus the minimum of every 2X2 subblock

81, 434, 2336, 12624, 68064, 366568, 1976940, 10657560, 57441532, 309578264, 1668794652, 8995139000, 48484851148, 261335232440, 1408647749404, 7592807398296, 40926289471308, 220597727495896, 1189054017281884

Offset

1,1

Comments

Column 1 of A237391

Links

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

Formula

Empirical: a(n) = 30*a(n-3) +349*a(n-4) +818*a(n-5) +3504*a(n-6) +7320*a(n-7) +9876*a(n-8) +18056*a(n-9) -14960*a(n-10) -63872*a(n-11) -133008*a(n-12) -307168*a(n-13) -194624*a(n-14) +71296*a(n-15) +344832*a(n-16) +1077248*a(n-17) +985088*a(n-18) -16384*a(n-19) -212992*a(n-20)

Example

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

Crossrefs

Sequence in context: A236282 A235417 A237391 * A237308 A237301 A237945

Adjacent sequences: A237382 A237383 A237384 * A237386 A237387 A237388

Keyword

nonn

Author

R. H. Hardin, Feb 07 2014

Status

approved