A237161 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock equal

245, 997, 4365, 20669, 102265, 525809, 2783881, 15103101, 83563325, 469820341, 2675878281, 15400507993, 89380166905, 522231871717, 3067722645325, 18097999626893, 107134656058457, 635936347749441, 3783041628703785

Offset

1,1

Comments

Column 2 of A237167

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -49*a(n-2) -250*a(n-3) +1567*a(n-4) +391*a(n-5) -13821*a(n-6) +7384*a(n-7) +58596*a(n-8) -39520*a(n-9) -137336*a(n-10) +78264*a(n-11) +179256*a(n-12) -67104*a(n-13) -119232*a(n-14) +20736*a(n-15) +31104*a(n-16)

Example

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

Crossrefs

Sequence in context: A132830 A350421 A236887 * A056264 A154080 A375324

Adjacent sequences: A237158 A237159 A237160 * A237162 A237163 A237164

Keyword

nonn

Author

R. H. Hardin, Feb 04 2014

Status

approved