A237688 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal

256, 1120, 5038, 23838, 115028, 567446, 2840760, 14437142, 74266834, 386657722, 2033497964, 10798721926, 57813989720, 311880302990, 1693057951386, 9243577235114, 50703873592100, 279292256979166, 1543652306971720

Offset

1,1

Comments

Column 1 of A237694

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +20*a(n-2) -1082*a(n-3) +2362*a(n-4) +34354*a(n-5) -131705*a(n-6) -579568*a(n-7) +3141610*a(n-8) +5491396*a(n-9) -44175192*a(n-10) -25301792*a(n-11) +406929824*a(n-12) -23847968*a(n-13) -2583700832*a(n-14) +1097030464*a(n-15) +11623922816*a(n-16) -7374042624*a(n-17) -37617469696*a(n-18) +27740250624*a(n-19) +88149855232*a(n-20) -66895181824*a(n-21) -149456072704*a(n-22) +106833551360*a(n-23) +181681192960*a(n-24) -112708681728*a(n-25) -155197308928*a(n-26) +76541722624*a(n-27) +89870041088*a(n-28) -31670665216*a(n-29) -33125564416*a(n-30) +7132413952*a(n-31) +6895435776*a(n-32) -654311424*a(n-33) -603979776*a(n-34)

Example

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

Crossrefs

Sequence in context: A237218 A237212 A237694 * A237299 A237293 A206118

Adjacent sequences: A237685 A237686 A237687 * A237689 A237690 A237691

Keyword

nonn

Author

R. H. Hardin, Feb 11 2014

Status

approved