A236699 Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median of every 2X2 subblock

426, 3188, 23788, 178232, 1338314, 10041714, 75235940, 563994510, 4230366698, 31726827262, 237865973686, 1783460957136, 13373943276560, 100288547813090, 751986752725048, 5638573976780912, 42280856157758116, 317044089247366498

Offset

1,1

Comments

Column 2 of A236704

Links

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

Formula

Empirical: a(n) = 96*a(n-3) +1446*a(n-4) +5002*a(n-5) +17664*a(n-6) +35634*a(n-7) -116079*a(n-8) -592189*a(n-9) -1339728*a(n-10) -1887666*a(n-11) +2632054*a(n-12) +13237330*a(n-13) +11983924*a(n-14) -2210264*a(n-15) -30127027*a(n-16) -74045536*a(n-17) -31775396*a(n-18) +57370541*a(n-19) +107961054*a(n-20) +152751643*a(n-21) -5885835*a(n-22) -187702017*a(n-23) -88991375*a(n-24) +19869847*a(n-25) +14214180*a(n-26) +2960509*a(n-27) +3444037*a(n-28) +6873307*a(n-29) +3739807*a(n-30) +1674422*a(n-31) +1147568*a(n-32) -194342*a(n-33) -236326*a(n-34) +6568*a(n-35) +12768*a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A045094 A252411 A236605 * A338154 A173374 A227484

Adjacent sequences: A236696 A236697 A236698 * A236700 A236701 A236702

Keyword

nonn

Author

R. H. Hardin, Jan 30 2014

Status

approved