login
A206536
Number of (n+1) X 3 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards.
1
399, 2577, 14781, 91674, 594348, 3902463, 25900263, 172835859, 1158343314, 7783336557, 52398118053, 353178544149, 2382554812068, 16081864446159, 108592014091443, 733452273626199, 4954756282052310, 33475276596812193
OFFSET
1,1
COMMENTS
Column 2 of A206542.
LINKS
FORMULA
Empirical: a(n) = 14*a(n-1) -49*a(n-2) -96*a(n-3) +814*a(n-4) -820*a(n-5) -2734*a(n-6) +5904*a(n-7) +127*a(n-8) -8794*a(n-9) +6847*a(n-10) -336*a(n-11) -1164*a(n-12) +288*a(n-13) for n>17.
EXAMPLE
Some solutions for n=4:
..0..2..2....2..1..2....2..0..0....1..1..0....2..1..0....1..2..2....0..1..0
..0..1..2....2..1..2....0..0..2....0..0..0....2..1..0....2..2..1....1..2..1
..0..1..1....1..1..1....0..2..2....0..1..1....2..1..1....0..2..2....2..1..0
..1..1..2....0..0..0....2..2..0....1..1..0....1..1..0....0..2..0....0..2..1
..1..2..2....1..1..1....0..0..0....1..0..0....0..0..0....2..2..2....1..0..2
CROSSREFS
Sequence in context: A216925 A292573 A299213 * A292538 A369246 A065767
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 09 2012
STATUS
approved