A236722 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal

211, 639, 1956, 6469, 21829, 76632, 274715, 1011801, 3796026, 14529341, 56433065, 222377312, 885798875, 3563873289, 14447284384, 58961418181, 241865432945, 996575390514, 4120372173019, 17085797687833, 71011622830256

Offset

1,1

Comments

Column 2 of A236728

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -55*a(n-2) -429*a(n-3) +3345*a(n-4) +305*a(n-5) -62701*a(n-6) +119409*a(n-7) +571524*a(n-8) -2050196*a(n-9) -2416550*a(n-10) +17913003*a(n-11) -1900329*a(n-12) -97846713*a(n-13) +85301692*a(n-14) +353378385*a(n-15) -541630757*a(n-16) -831973453*a(n-17) +1994662513*a(n-18) +1101693402*a(n-19) -4920998860*a(n-20) -26652788*a(n-21) +8425389509*a(n-22) -3163793118*a(n-23) -9924788192*a(n-24) +7023205589*a(n-25) +7601234480*a(n-26) -8445523028*a(n-27) -3117276202*a(n-28) +6289375992*a(n-29) -67084040*a(n-30) -2859185064*a(n-31) +767253584*a(n-32) +709211904*a(n-33) -363445392*a(n-34) -63488320*a(n-35) +70261760*a(n-36) -5334144*a(n-37) -5176704*a(n-38) +976896*a(n-39) +101376*a(n-40) -27648*a(n-41)

Example

Some solutions for n=6
..0..1..1....0..1..2....1..1..1....2..1..0....1..2..1....2..2..0....0..1..1
..1..2..2....2..1..2....2..2..0....2..2..2....1..2..1....2..1..2....0..2..1
..2..1..1....1..0..1....1..1..1....0..1..2....2..1..2....2..2..0....1..0..0
..1..0..2....2..1..2....2..2..2....2..2..2....2..1..2....2..1..2....0..2..1
..2..1..1....1..0..1....2..2..2....1..2..1....2..1..2....0..2..2....0..1..1
..1..2..2....1..2..1....1..1..1....2..2..0....0..1..2....2..1..0....0..2..1
..1..2..2....2..1..2....0..2..0....2..1..2....1..2..1....0..2..2....1..0..0

Crossrefs

Sequence in context: A098674 A056212 A299110 * A236878 A137770 A142761

Adjacent sequences: A236719 A236720 A236721 * A236723 A236724 A236725

Keyword

nonn

Author

R. H. Hardin, Jan 30 2014

Status

approved