A206049 Number of (n+1)X4 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one

1338, 20400, 295392, 4256868, 61165512, 878480541, 12614174310, 181122252378, 2600608213794, 37340291401455, 536141282064960, 7698053759356941, 110530579472265720, 1587025853728342719, 22786914622304193330

Offset

1,1

Comments

Column 3 of A206054

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +50*a(n-2) -694*a(n-3) +231*a(n-4) +7859*a(n-5) -11033*a(n-6) -27843*a(n-7) +74031*a(n-8) -31227*a(n-9) -69492*a(n-10) +85038*a(n-11) -5841*a(n-12) -45285*a(n-13) +32933*a(n-14) -7422*a(n-15) -7010*a(n-16) +3796*a(n-17) -416*a(n-18)

Example

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

Crossrefs

Sequence in context: A145494 A234264 A237476 * A239254 A233545 A238910

Adjacent sequences: A206046 A206047 A206048 * A206050 A206051 A206052

Keyword

nonn

Author

R. H. Hardin Feb 03 2012

Status

approved