A237959 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

340, 1944, 10942, 64146, 378532, 2202258, 12775098, 74571092, 435574126, 2537879368, 14784392084, 86221103762, 502834019146, 2931082498822, 17085974646934, 99619828773726, 580822873528914, 3386091855293476

Offset

1,1

Comments

Column 2 of A237965

Links

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

Formula

Empirical: a(n) = 57*a(n-3) +519*a(n-4) +1274*a(n-5) +3325*a(n-6) +3022*a(n-7) -19803*a(n-8) -54071*a(n-9) -91685*a(n-10) -63215*a(n-11) +160130*a(n-12) +199163*a(n-13) +160145*a(n-14) +195840*a(n-15) -405526*a(n-16) -460000*a(n-17) +241952*a(n-18) +170336*a(n-19) -29888*a(n-20) +33280*a(n-21) -16256*a(n-22) -24576*a(n-23) +8192*a(n-24)

Example

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

Crossrefs

Sequence in context: A306865 A205223 A238040 * A232514 A187383 A265969

Adjacent sequences: A237956 A237957 A237958 * A237960 A237961 A237962

Keyword

nonn

Author

R. H. Hardin, Feb 16 2014

Status

approved