A238293 Number of (n+1) X (1+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

256, 1836, 13405, 99036, 730412, 5365422, 39447709, 290457856, 2138629508, 15729683540, 115738375440, 851696818464, 6268744175264, 46119373785696, 339401856662548, 2497274479295728, 18379234719307992, 135224806527545920

Offset

1,1

Comments

Column 1 of A238298.

Links

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

Formula

Empirical: a(n) = 2164*a(n-4) +42300*a(n-6) +6272*a(n-8) -2398088*a(n-10) -2032176*a(n-12) +45261648*a(n-14) +13403744*a(n-16) -307030624*a(n-18) +71723392*a(n-20) +530758336*a(n-22) -23717632*a(n-24) +45493248*a(n-26) +5124096*a(n-28) -18071552*a(n-30) +458752*a(n-32) for n>33.

Example

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

Crossrefs

Cf. A238298.

Sequence in context: A238145 A238140 A238298 * A237898 A237891 A237158

Adjacent sequences: A238290 A238291 A238292 * A238294 A238295 A238296

Keyword

nonn

Author

R. H. Hardin, Feb 23 2014

Status

approved