A237092 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2 X 2 subblock equal.

81, 303, 1178, 4783, 19735, 83052, 352077, 1509309, 6498030, 28174611, 122516471, 535232028, 2342989133, 10287655021, 45234855966, 199291092499, 878860456823, 3880668135436, 17146466326573, 75822725082413, 335437962362510

Offset

1,1

Comments

Column 1 of A237099.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +24*a(n-2) -133*a(n-3) -161*a(n-4) +1148*a(n-5) +166*a(n-6) -3580*a(n-7) +364*a(n-8) +4024*a(n-9) -48*a(n-10) -1120*a(n-11).

Example

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

Crossrefs

Cf. A237099.

Sequence in context: A236819 A237099 A236812 * A206277 A236018 A206685

Adjacent sequences: A237089 A237090 A237091 * A237093 A237094 A237095

Keyword

nonn

Author

R. H. Hardin, Feb 03 2014

Status

approved