A237143 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock equal

256, 1472, 8128, 48672, 289648, 1763648, 10742400, 65979616, 405858928, 2506483648, 15505832064, 96161190176, 597347413104, 3717660452416, 23173286559360, 144674835765600, 904520172987504, 5663029113486528

Offset

1,1

Comments

Column 1 of A237150

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +15*a(n-2) -1145*a(n-3) +2387*a(n-4) +37971*a(n-5) -125157*a(n-6) -717925*a(n-7) +2961789*a(n-8) +8497725*a(n-9) -42143099*a(n-10) -64302155*a(n-11) +395479985*a(n-12) +292816593*a(n-13) -2542859159*a(n-14) -536734167*a(n-15) +11318363232*a(n-16) -2143673968*a(n-17) -34416928152*a(n-18) +18241618944*a(n-19) +68291364640*a(n-20) -59473522432*a(n-21) -78323431552*a(n-22) +105248727808*a(n-23) +31220975104*a(n-24) -96325931008*a(n-25) +27167551488*a(n-26) +30305468416*a(n-27) -24934612992*a(n-28) +7018905600*a(n-29) -707788800*a(n-30)

Example

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

Crossrefs

Sequence in context: A237488 A237482 A237150 * A333606 A237974 A237967

Adjacent sequences: A237140 A237141 A237142 * A237144 A237145 A237146

Keyword

nonn

Author

R. H. Hardin, Feb 04 2014

Status

approved