A237953 Number of (n+1) X (2+1) 0..3 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

1280, 7552, 45504, 300576, 1989792, 13448144, 90873216, 619311968, 4216944960, 28740190112, 195754182912, 1336638450880, 9119759264640, 62187152129600, 423811971529728, 2894195784272640, 19749810069474816, 134677433485842176

Offset

1,1

Comments

Column 2 of A237956.

Links

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

Formula

Empirical: a(n) = 2748*a(n-4) -1387988*a(n-8) +288215016*a(n-12) -28573068288*a(n-16) +1342200998400*a(n-20) -26806577111808*a(n-24) +258758317983744*a(n-28) -1294957173878784*a(n-32) +3352065764917248*a(n-36) -4028458590535680*a(n-40) +1526567264059392*a(n-44) for n>46.

Example

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

Crossrefs

Sequence in context: A234315 A251783 A224645 * A237236 A090006 A170784

Adjacent sequences: A237950 A237951 A237952 * A237954 A237955 A237956

Keyword

nonn

Author

R. H. Hardin, Feb 16 2014

Status

approved