A237293 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock equal

256, 1128, 5360, 27376, 145488, 802992, 4552384, 26458368, 156639808, 942349824, 5736317696, 35260388992, 218279005440, 1358969009152, 8495762042880, 53287015270400, 335031293455360, 2110452904770560, 13313109048823808

Offset

1,1

Comments

Column 1 of A237299

Links

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

Formula

Empirical: a(n) = 18*a(n-1) -80*a(n-2) -356*a(n-3) +3712*a(n-4) -3672*a(n-5) -46200*a(n-6) +121376*a(n-7) +223024*a(n-8) -1056416*a(n-9) -188480*a(n-10) +4472000*a(n-11) -2103552*a(n-12) -10322304*a(n-13) +8097920*a(n-14) +13459968*a(n-15) -12348928*a(n-16) -9893888*a(n-17) +8663040*a(n-18) +3891200*a(n-19) -2293760*a(n-20) -655360*a(n-21)

Example

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

Crossrefs

Sequence in context: A237694 A237688 A237299 * A206118 A206111 A237211

Adjacent sequences: A237290 A237291 A237292 * A237294 A237295 A237296

Keyword

nonn

Author

R. H. Hardin, Feb 06 2014

Status

approved