A205904 Number of (n+1)X4 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock the same

1764, 24045, 327501, 4541781, 63696738, 900968550, 12813949461, 182896937223, 2616373388967, 37480339156782, 537385377081930, 7709105507436804, 110628756167804304, 1587897993004527084, 22794662152538771142

Offset

1,1

Comments

Column 3 of A205909

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -230*a(n-2) -305*a(n-3) +11727*a(n-4) -49396*a(n-5) +5444*a(n-6) +515772*a(n-7) -1409760*a(n-8) +86551*a(n-9) +7096107*a(n-10) -16531052*a(n-11) +15251786*a(n-12) +1909440*a(n-13) -19513805*a(n-14) +19659411*a(n-15) -4800430*a(n-16) -9042857*a(n-17) +12258669*a(n-18) -7003400*a(n-19) +708918*a(n-20) +1799474*a(n-21) -1404920*a(n-22) +462715*a(n-23) +42533*a(n-24) -69882*a(n-25) +21674*a(n-26) -4628*a(n-27) +416*a(n-28)

Example

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

Crossrefs

Sequence in context: A165678 A205912 A237781 * A061627 A232554 A111886

Adjacent sequences: A205901 A205902 A205903 * A205905 A205906 A205907

Keyword

nonn

Author

R. H. Hardin Feb 01 2012

Status

approved