A237946 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1460, 8291, 50268, 303996, 1843152, 11184876, 68097912, 414486896, 2520029560, 15323465712, 93248017968, 567415341640, 3451194769584, 20991971640784, 127717262497696, 777044322795552, 4726792218081184

Offset

1,1

Comments

Column 1 of A237951

Links

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

Formula

Empirical: a(n) = 1560*a(n-4) +11688*a(n-6) -610232*a(n-8) -5928792*a(n-10) +83894672*a(n-12) +940586352*a(n-14) -3589253408*a(n-16) -53418037952*a(n-18) +34878344128*a(n-20) +1320056629504*a(n-22) +920196238464*a(n-24) -14002856470016*a(n-26) -18920656812032*a(n-28) +49172761794560*a(n-30) +77939535077376*a(n-32) -51754973675520*a(n-34) -94552987795456*a(n-36) -9959401586688*a(n-38) +16399438184448*a(n-40) +2392665882624*a(n-42) -847987605504*a(n-44) -86973087744*a(n-46)

Example

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

Crossrefs

Sequence in context: A237225 A237219 A237951 * A237488 A237482 A237150

Adjacent sequences: A237943 A237944 A237945 * A237947 A237948 A237949

Keyword

nonn

Author

R. H. Hardin, Feb 16 2014

Status

approved