A237724 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

348, 2152, 13496, 86010, 542946, 3412698, 21521906, 136316506, 860711592, 5425536832, 34247218680, 216455290804, 1366639826320, 8623564298254, 54443929896190, 343862067605274, 2171012674382328, 13704252654063820

Offset

1,1

Comments

Column 2 of A237730

Links

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

Formula

Empirical: a(n) = 66*a(n-3) +903*a(n-4) +1628*a(n-5) +4020*a(n-6) -3173*a(n-7) -98477*a(n-8) -153617*a(n-9) +15724*a(n-10) +83098*a(n-11) +20571*a(n-12) +3764*a(n-13) +88351*a(n-14) +8583*a(n-15) -32804*a(n-16) +10471*a(n-17) -15241*a(n-18) -3432*a(n-19) +809*a(n-20) -2856*a(n-21) +1062*a(n-22) for n>24

Example

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

Crossrefs

Sequence in context: A304837 A231089 A237318 * A054467 A230705 A230616

Adjacent sequences: A237721 A237722 A237723 * A237725 A237726 A237727

Keyword

nonn

Author

R. H. Hardin, Feb 12 2014

Status

approved