A237061 Number of (n+1) X (2+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2 X 2 subblock equal.

255, 1101, 5034, 25451, 132095, 723774, 3983941, 22797711, 129296092, 756671245, 4355865411, 25775863718, 149461131883, 889200135475, 5174050599728, 30862163101623, 179882294574133, 1074306258732204, 6266781494242621

Offset

1,1

Comments

Column 2 of A237067.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +41*a(n-2) -446*a(n-3) -123*a(n-4) +7323*a(n-5) -4271*a(n-6) -59999*a(n-7) +45046*a(n-8) +286308*a(n-9) -194469*a(n-10) -837761*a(n-11) +441540*a(n-12) +1512121*a(n-13) -564301*a(n-14) -1656226*a(n-15) +420594*a(n-16) +1074464*a(n-17) -181800*a(n-18) -395488*a(n-19) +41584*a(n-20) +75456*a(n-21) -3840*a(n-22) -5760*a(n-23).

Example

Some solutions for n=5
..1..0..1....1..2..1....1..2..2....0..0..0....0..1..0....1..0..1....0..0..2
..0..2..0....2..0..2....0..2..1....2..1..2....2..2..2....2..1..0....1..2..1
..1..0..1....0..1..0....1..2..2....0..2..2....0..1..0....0..1..2....2..2..2
..2..2..0....2..2..2....2..0..1....0..1..0....2..0..2....1..0..1....2..1..2
..2..1..2....1..2..1....1..0..2....2..0..2....2..1..2....1..0..1....0..2..0
..0..2..2....2..2..2....2..0..1....1..2..1....0..0..2....0..1..2....0..1..2

Crossrefs

Cf. A237067.

Sequence in context: A157778 A158010 A236783 * A236792 A259247 A204738

Adjacent sequences: A237058 A237059 A237060 * A237062 A237063 A237064

Keyword

nonn

Author

R. H. Hardin, Feb 03 2014

Status

approved