A237219 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal

256, 1416, 8238, 50998, 324760, 2135910, 14272968, 97077068, 665750830, 4607875290, 32019860020, 223534827494, 1563373657868, 10959098528264, 76884218567414, 539997393805814, 3793994100382864, 26671435372462390

Offset

1,1

Comments

Column 1 of A237225

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -8*a(n-2) -1098*a(n-3) +4586*a(n-4) +24400*a(n-5) -179753*a(n-6) -114082*a(n-7) +2989632*a(n-8) -3122880*a(n-9) -24773900*a(n-10) +51198752*a(n-11) +103774016*a(n-12) -332116608*a(n-13) -189089472*a(n-14) +1143792096*a(n-15) -35184544*a(n-16) -2249166912*a(n-17) +694237760*a(n-18) +2547612544*a(n-19) -1068840448*a(n-20) -1598213632*a(n-21) +687111168*a(n-22) +500299776*a(n-23) -200097792*a(n-24) -60039168*a(n-25) +21823488*a(n-26)

Example

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

Crossrefs

Sequence in context: A187964 A187956 A237225 * A237951 A237946 A237488

Adjacent sequences: A237216 A237217 A237218 * A237220 A237221 A237222

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved