A237060 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal

81, 255, 826, 2823, 9815, 34996, 125469, 457125, 1664894, 6142099, 22586567, 84018940, 311018349, 1163797285, 4328792462, 16268051859, 60722854295, 228929149516, 856718666317, 3237411387189, 12138170248222, 45946152057331

Offset

1,1

Comments

Column 1 of A237067

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +20*a(n-2) -121*a(n-3) -85*a(n-4) +876*a(n-5) +42*a(n-6) -2664*a(n-7) +168*a(n-8) +3696*a(n-9) -144*a(n-10) -2176*a(n-11) +384*a(n-13)

Example

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

Crossrefs

Sequence in context: A237067 A236782 A236791 * A361179 A340697 A237637

Adjacent sequences: A237057 A237058 A237059 * A237061 A237062 A237063

Keyword

nonn

Author

R. H. Hardin, Feb 03 2014

Status

approved