A237212 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock equal

256, 1076, 4770, 22420, 107092, 523218, 2580120, 12870804, 64634026, 326922108, 1661903764, 8491149474, 43548443400, 224187558716, 1157390767538, 5992234819668, 31088874374020, 161649774718450, 841795869921768

Offset

1,1

Comments

Column 1 of A237218

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +9*a(n-2) -935*a(n-3) +2584*a(n-4) +23459*a(n-5) -105654*a(n-6) -285952*a(n-7) +1921192*a(n-8) +1588348*a(n-9) -20149416*a(n-10) +685072*a(n-11) +132759648*a(n-12) -66518688*a(n-13) -567564352*a(n-14) +438496896*a(n-15) +1584509184*a(n-16) -1476106752*a(n-17) -2857446400*a(n-18) +2915932160*a(n-19) +3232051200*a(n-20) -3441262592*a(n-21) -2161868800*a(n-22) +2339045376*a(n-23) +759037952*a(n-24) -824180736*a(n-25) -103809024*a(n-26) +113246208*a(n-27)

Example

Some solutions for n=5
..3..0....3..0....1..3....2..1....1..0....0..0....1..1....1..1....1..2....2..1
..0..0....2..3....2..3....3..0....2..1....3..0....3..1....1..3....1..2....0..0
..0..3....3..0....0..2....1..2....1..0....0..0....2..2....2..2....2..3....2..1
..2..2....0..1....3..2....3..0....0..1....1..2....1..3....3..1....2..1....3..1
..3..0....0..3....0..2....1..2....0..1....3..1....1..1....1..1....2..3....1..2
..3..3....1..0....0..1....0..3....0..1....2..1....1..3....3..1....3..2....3..1

Crossrefs

Sequence in context: A236904 A206198 A237218 * A237694 A237688 A237299

Adjacent sequences: A237209 A237210 A237211 * A237213 A237214 A237215

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved