A236869 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal

287, 1503, 8117, 46023, 260957, 1502355, 8629071, 49869905, 287699673, 1664594799, 9620992479, 55692720253, 322213277593, 1865831191989, 10802023011287, 62571905494881, 362440288046191, 2100199051687835

Offset

1,1

Comments

Column 2 of A236875

Links

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

Formula

Empirical: a(n) = 18*a(n-1) -53*a(n-2) -861*a(n-3) +5994*a(n-4) +8378*a(n-5) -171443*a(n-6) +217564*a(n-7) +2248566*a(n-8) -6318196*a(n-9) -14387480*a(n-10) +70781836*a(n-11) +27546487*a(n-12) -442719094*a(n-13) +222432397*a(n-14) +1682236000*a(n-15) -1852244993*a(n-16) -3906324240*a(n-17) +6571952825*a(n-18) +5149052575*a(n-19) -13516632533*a(n-20) -2596394214*a(n-21) +17089934474*a(n-22) -2269172690*a(n-23) -13345269664*a(n-24) +4414344468*a(n-25) +6340102352*a(n-26) -2938960424*a(n-27) -1781618752*a(n-28) +1013753840*a(n-29) +278602304*a(n-30) -190307328*a(n-31) -20951424*a(n-32) +18611712*a(n-33) +456704*a(n-34) -837632*a(n-35) +10240*a(n-36) +12288*a(n-37)

Example

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

Crossrefs

Sequence in context: A063362 A159949 A158252 * A158287 A112245 A289339

Adjacent sequences: A236866 A236867 A236868 * A236870 A236871 A236872

Keyword

nonn

Author

R. H. Hardin, Feb 01 2014

Status

approved