A237803 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock equal

295, 1775, 10433, 65777, 413659, 2653941, 17059551, 110537541, 717782983, 4679120817, 30556330231, 199989593763, 1310729227831, 8603242105963, 56531698121213, 371878534270081, 2448554048752631, 16136308096010383

Offset

1,1

Comments

Column 2 of A237809

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +32*a(n-2) -995*a(n-3) +1203*a(n-4) +30639*a(n-5) -80894*a(n-6) -484821*a(n-7) +1819880*a(n-8) +4094432*a(n-9) -21975137*a(n-10) -15423994*a(n-11) +159646072*a(n-12) -20537582*a(n-13) -731838006*a(n-14) +482636414*a(n-15) +2157585399*a(n-16) -2313673429*a(n-17) -4063269643*a(n-18) +6080908617*a(n-19) +4636945145*a(n-20) -9951312215*a(n-21) -2581453624*a(n-22) +10458352359*a(n-23) -391104242*a(n-24) -7005351042*a(n-25) +1614638448*a(n-26) +2873473052*a(n-27) -1062608408*a(n-28) -658678792*a(n-29) +325725984*a(n-30) +66680608*a(n-31) -46683520*a(n-32) -308864*a(n-33) +2464512*a(n-34) -202240*a(n-35) -15360*a(n-36)

Example

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

Crossrefs

Sequence in context: A277338 A252083 A279052 * A238512 A003780 A338592

Adjacent sequences: A237800 A237801 A237802 * A237804 A237805 A237806

Keyword

nonn

Author

R. H. Hardin, Feb 13 2014

Status

approved