A237162 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock equal

777, 4365, 25705, 165317, 1096689, 7519165, 52597313, 374547449, 2703084433, 19737083525, 145502365817, 1081741294293, 8100825186441, 61057811296633, 462839372387297, 3526509645691173, 26993284905141665, 207478208405676469

Offset

1,1

Comments

Column 3 of A237167

Links

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

Formula

Empirical: a(n) = 22*a(n-1) -99*a(n-2) -960*a(n-3) +8098*a(n-4) +12032*a(n-5) -218957*a(n-6) +19862*a(n-7) +3162005*a(n-8) -1747808*a(n-9) -28052026*a(n-10) +17465512*a(n-11) +161713315*a(n-12) -88019074*a(n-13) -621523196*a(n-14) +264308654*a(n-15) +1611400334*a(n-16) -500177858*a(n-17) -2823868897*a(n-18) +607262224*a(n-19) +3318019822*a(n-20) -470911456*a(n-21) -2561669588*a(n-22) +227604704*a(n-23) +1252643832*a(n-24) -64982496*a(n-25) -364185088*a(n-26) +9789184*a(n-27) +55881600*a(n-28) -579072*a(n-29) -3354624*a(n-30)

Example

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

Crossrefs

Sequence in context: A204300 A043519 A043384 * A252529 A008746 A231062

Adjacent sequences: A237159 A237160 A237161 * A237163 A237164 A237165

Keyword

nonn

Author

R. H. Hardin, Feb 04 2014

Status

approved