A237392 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal

256, 1314, 7172, 41062, 239176, 1413864, 8412540, 50339772, 302048100, 1816603960, 10938456484, 65931180904, 397609705028, 2398955670224, 14477721582308, 87393037228072, 527613311664980, 3185743214543624

Offset

1,1

Comments

Column 1 of A237398

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -a(n-2) -1192*a(n-3) +4094*a(n-4) +36112*a(n-5) -198360*a(n-6) -545444*a(n-7) +4685891*a(n-8) +3321208*a(n-9) -67390781*a(n-10) +22829928*a(n-11) +639650148*a(n-12) -651316000*a(n-13) -4142764754*a(n-14) +6470375444*a(n-15) +18376040396*a(n-16) -38949652408*a(n-17) -54036290680*a(n-18) +157297776560*a(n-19) +92738689520*a(n-20) -438302540448*a(n-21) -34343558400*a(n-22) +839286075392*a(n-23) -244016746496*a(n-24) -1069165264896*a(n-25) +639661955072*a(n-26) +836754953216*a(n-27) -778903263232*a(n-28) -321097089024*a(n-29) +509360603136*a(n-30) -5457870848*a(n-31) -162308947968*a(n-32) +40198209536*a(n-33) +17667063808*a(n-34) -6990594048*a(n-35) -343932928*a(n-36) +320864256*a(n-37) -25165824*a(n-38)

Example

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

Crossrefs

Sequence in context: A129539 A113877 A237398 * A205097 A205090 A231943

Adjacent sequences: A237389 A237390 A237391 * A237393 A237394 A237395

Keyword

nonn

Author

R. H. Hardin, Feb 07 2014

Status

approved