A237552 Number of (n+1)X(3+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1240, 8764, 60002, 343356, 2403292, 16373120, 122961380, 785426128, 5684118308, 38591882672, 288701778796, 1875287628052, 13686600650894, 92040152306336, 684906875721050, 4484128351917688, 32873214587739986, 219731229818042284

Offset

1,1

Comments

Column 3 of A237557

Links

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

Formula

Empirical: a(n) = 2209*a(n-4) +20488*a(n-6) -484417*a(n-8) -5045450*a(n-10) +32187035*a(n-12) +379511934*a(n-14) -482584122*a(n-16) -8372244682*a(n-18) +3088423171*a(n-20) +62221443020*a(n-22) -15504608944*a(n-24) -153636549438*a(n-26) +65472211942*a(n-28) +88325162236*a(n-30) -29619139113*a(n-32) -11600316200*a(n-34) +3764093856*a(n-36) +396449184*a(n-38) -150944128*a(n-40) -7616128*a(n-42) -95232*a(n-44) for n>49

Example

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

Crossrefs

Sequence in context: A161868 A145047 A236974 * A010081 A028514 A099178

Adjacent sequences: A237549 A237550 A237551 * A237553 A237554 A237555

Keyword

nonn

Author

R. H. Hardin, Feb 09 2014

Status

approved