A205913 Number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors.

8655, 60108, 875760, 14150391, 231526056, 3820547082, 63265158237, 1050303618804, 17461890895080, 290595076221963, 4838872120161432, 80606225112622692, 1343073244180215729, 22382033385164467782

Offset

1,1

Comments

Column 4 of A205917.

Links

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

Formula

Empirical: a(n) = 39*a(n-1) -449*a(n-2) -280*a(n-3) +38627*a(n-4) -194142*a(n-5) -722325*a(n-6) +8362314*a(n-7) -8814598*a(n-8) -119351330*a(n-9) +364555331*a(n-10) +571807695*a(n-11) -3762430021*a(n-12) +1005906085*a(n-13) +17872231989*a(n-14) -17924557191*a(n-15) -46697636378*a(n-16) +59483617162*a(n-17) +101379896854*a(n-18) -97834390867*a(n-19) -275783352058*a(n-20) +187896416529*a(n-21) +575156811804*a(n-22) -432370167255*a(n-23) -652816594059*a(n-24) +481022193149*a(n-25) +543259841468*a(n-26) -182925146032*a(n-27) -633623973480*a(n-28) +179429171676*a(n-29) +471746478736*a(n-30) -267860928768*a(n-31) -84901710512*a(n-32) +94154797600*a(n-33) -11353349248*a(n-34) -7552430976*a(n-35) +2371211520*a(n-36) -187588608*a(n-37) for n>43.

Example

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

Crossrefs

Sequence in context: A031591 A031771 A205732 * A205905 A205763 A253617

Adjacent sequences: A205910 A205911 A205912 * A205914 A205915 A205916

Keyword

nonn

Author

R. H. Hardin, Feb 01 2012

Status

approved