A238041 Number of (n+1)X(3+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1440, 10812, 81524, 621780, 4837484, 36440340, 282305082, 2134998732, 16538701324, 124970610892, 968345824398, 7317821287212, 56696867316476, 428465558610908, 3319739506259962, 25087428509423164, 194376018181118344

Offset

1,1

Comments

Column 3 of A238046

Links

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

Formula

Empirical: a(n) = 35*a(n-2) +1365*a(n-4) +5818*a(n-6) -253745*a(n-8) -2515364*a(n-10) +10622583*a(n-12) +185736185*a(n-14) +215793766*a(n-16) -2565871459*a(n-18) +1332702148*a(n-20) +36260764417*a(n-22) -76174294334*a(n-24) -318514722516*a(n-26) +853854046952*a(n-28) +424255350704*a(n-30) -1871720624096*a(n-32) -110445159552*a(n-34) +754983001216*a(n-36) -22781154048*a(n-38) -449740093440*a(n-40) +150005694464*a(n-42) +20312506368*a(n-44) +3601989632*a(n-46) +1937768448*a(n-48) +134217728*a(n-50)

Example

Some solutions for n=3
..0..0..1..1....1..1..1..0....1..0..0..1....2..1..0..0....0..0..1..0
..1..0..1..2....2..2..0..1....2..0..0..1....1..1..0..0....2..0..1..2
..1..0..0..0....2..1..2..1....1..1..2..1....2..2..1..1....1..0..0..0
..2..1..2..2....2..1..0..0....2..2..2..0....1..2..0..2....2..1..2..2

Crossrefs

Sequence in context: A078095 A157508 A061221 * A187291 A187193 A223108

Adjacent sequences: A238038 A238039 A238040 * A238042 A238043 A238044

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved