A229101 Number of nX2 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X3 0..3 array.

16, 256, 4096, 63248, 974864, 14988504, 230263568, 3535340280, 54259841344, 832568721040, 12772986729296, 195938264147352, 3005495334322240, 46099170983713952, 707061472008632816, 10844578371744358376

Offset

1,1

Comments

Column 2 of A229105.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) -102*a(n-2) -630*a(n-3) +2225*a(n-4) +3688*a(n-5) -15447*a(n-6) +8430*a(n-7) +6782*a(n-8) -50498*a(n-9) +142526*a(n-10) -83300*a(n-11) +100982*a(n-12) +17088*a(n-13) -191175*a(n-14) +227608*a(n-15) -319996*a(n-16) +234150*a(n-17) -159273*a(n-18) +89270*a(n-19) -31661*a(n-20) +14112*a(n-21) -2156*a(n-22) +784*a(n-23).

Example

Some solutions for n=4
..2..1....1..1....3..3....0..0....1..1....2..1....1..0....3..2....1..1....0..0
..2..1....3..2....1..3....0..0....0..1....1..3....2..3....3..1....2..3....2..2
..0..0....3..0....0..3....1..0....0..3....2..2....2..3....3..0....2..1....2..3
..2..0....3..1....1..0....1..0....0..3....1..0....0..0....1..3....1..0....3..3

Crossrefs

Sequence in context: A220252 A267976 A220803 * A220175 A001025 A144318

Adjacent sequences: A229098 A229099 A229100 * A229102 A229103 A229104

Keyword

nonn

Author

R. H. Hardin, Sep 13 2013

Status

approved