A206192 Number of (n+1)X4 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two

8304, 329216, 13173864, 527945420, 21162670972, 848327900384, 34006136221640, 1363171550451384, 54644142459882172, 2190466837748368020, 87807121912310588320, 3519839010271451725584, 141096375518760876476256

Offset

1,1

Comments

Column 3 of A206197

Links

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

Formula

Empirical: a(n) = 69*a(n-1) -1503*a(n-2) +16061*a(n-3) -100719*a(n-4) +413071*a(n-5) -1200419*a(n-6) +2350991*a(n-7) -2650016*a(n-8) +246039*a(n-9) +5103223*a(n-10) -8853227*a(n-11) +5015318*a(n-12) +4249674*a(n-13) -9106668*a(n-14) +7509128*a(n-15) -3026335*a(n-16) +952523*a(n-17) -1880226*a(n-18) -37992*a(n-19) -166501*a(n-20) -450312*a(n-21) -419109*a(n-22) +222765*a(n-23) +217432*a(n-24) -15270*a(n-25) +13404*a(n-26) +5852*a(n-27) +348*a(n-28) for n>29

Example

Some solutions for n=4
..2..3..3..0....1..1..2..0....1..0..2..1....2..1..1..2....1..3..3..3
..1..2..0..2....3..2..0..3....0..1..0..2....0..3..2..0....3..2..1..0
..3..1..1..3....0..3..1..0....2..2..1..3....3..0..3..2....0..3..2..1
..0..3..2..0....1..0..2..1....0..3..2..0....1..3..2..3....2..0..3..2
..3..0..3..1....3..2..3..2....1..0..3..1....2..0..3..2....2..1..0..3

Crossrefs

Sequence in context: A237948 A362578 A250991 * A252155 A258676 A170778

Adjacent sequences: A206189 A206190 A206191 * A206193 A206194 A206195

Keyword

nonn

Author

R. H. Hardin Feb 04 2012

Status

approved