A238140 Number of (n+1)X(1+1) 0..3 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

256, 1810, 12981, 94458, 687254, 4977790, 36125717, 262009080, 1902689356, 13793932488, 100152908224, 726176038552, 5272782009672, 38229547221928, 277581361120444, 2012592670155936, 14613326239922048, 105952842547441728

Offset

1,1

Comments

Column 1 of A238145

Links

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

Formula

Empirical: a(n) = 1808*a(n-4) +44640*a(n-6) +335068*a(n-8) -484208*a(n-10) -15068144*a(n-12) -32087616*a(n-14) +167504512*a(n-16) +586957568*a(n-18) -435685376*a(n-20) -3412492288*a(n-22) -1807720448*a(n-24) +6958792704*a(n-26) +9003270144*a(n-28) +190054400*a(n-30) -3628072960*a(n-32) -1132462080*a(n-34)

Example

Some solutions for n=4
..2..1....1..0....3..2....2..0....0..3....0..1....2..1....1..3....2..3....0..3
..2..0....1..1....1..3....2..2....1..2....1..2....2..2....1..0....2..3....0..1
..1..3....3..1....3..3....1..2....3..1....1..1....0..0....2..2....3..3....2..3
..1..3....3..0....1..0....1..2....0..2....2..0....1..0....2..2....2..2....3..0
..0..3....3..2....2..2....0..2....0..3....2..2....1..1....3..3....0..0....3..3

Crossrefs

Sequence in context: A237911 A237905 A238145 * A238298 A238293 A237898

Adjacent sequences: A238137 A238138 A238139 * A238141 A238142 A238143

Keyword

nonn

Author

R. H. Hardin, Feb 18 2014

Status

approved