A205834 Number of (n+1) X 7 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to two.

23340, 710526, 22488006, 720376872, 23163320754, 745699860222, 24015926216514, 773556773975484, 24917497813440492, 802644416569685118, 25854975349134338424, 832848064828756464702, 26827960607597793524724

Offset

1,1

Comments

Column 6 of A205836.

Links

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

Formula

Empirical: a(n) = 91*a(n-1) -3394*a(n-2) +70217*a(n-3) -905449*a(n-4) +7619101*a(n-5) -41427487*a(n-6) +129709165*a(n-7) -97909311*a(n-8) -774478143*a(n-9) +570970779*a(n-10) +25735073307*a(n-11) -175163833481*a(n-12) +616893588541*a(n-13) -1263458233616*a(n-14) +885545973470*a(n-15) +3462187139358*a(n-16) -14221741494065*a(n-17) +27403962008198*a(n-18) -29161097791119*a(n-19) +5114218190598*a(n-20) +40061714605366*a(n-21) -76192740692776*a(n-22) +72137595403160*a(n-23) -29228539168641*a(n-24) -17987510300387*a(n-25) +36618977341306*a(n-26) -24452431256720*a(n-27) +3581648489075*a(n-28) +6882890889284*a(n-29) -5829393286298*a(n-30) +1628953985880*a(n-31) +384161107080*a(n-32) -436068110448*a(n-33) +148209832296*a(n-34) -24845985360*a(n-35) +1773266256*a(n-36) for n > 37.

Example

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

Crossrefs

Cf. A205836.

Sequence in context: A337784 A333746 A251111 * A184229 A153771 A252944

Adjacent sequences: A205831 A205832 A205833 * A205835 A205836 A205837

Keyword

nonn

Author

R. H. Hardin Feb 01 2012

Status

approved