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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
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 11 2014
STATUS
approved