A206410 Number of (n+1) X 5 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an equal number of clockwise and counterclockwise edge increases.

15087, 953865, 62351943, 4099250889, 269845754715, 17769571483479, 1170258128101905, 77072446958972853, 5075985987460513995, 334304949004000847991, 22017374591980900445685, 1450067958051192311462769

Offset

1,1

Comments

Column 4 of A206414.

Links

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

Formula

Empirical: a(n) = 121*a(n-1) -4842*a(n-2) +93442*a(n-3) -984794*a(n-4) +5503671*a(n-5) -9072726*a(n-6) -78684541*a(n-7) +535626405*a(n-8) -991587240*a(n-9) -2580309619*a(n-10) +15747001849*a(n-11) -20598090193*a(n-12) -41549984245*a(n-13) +164996602285*a(n-14) -124687904298*a(n-15) -276964848873*a(n-16) +640627801097*a(n-17) -268835295686*a(n-18) -615894146346*a(n-19) +919184816798*a(n-20) -316305834243*a(n-21) -338190799906*a(n-22) +415103347869*a(n-23) -166830909951*a(n-24) +1177218958*a(n-25) +23150659951*a(n-26) -7462678489*a(n-27) +119744345*a(n-28) +412765357*a(n-29) -80434289*a(n-30) -308634*a(n-31) +1758176*a(n-32) -205020*a(n-33) +8424*a(n-34) -108*a(n-35).

Example

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

Crossrefs

Sequence in context: A257017 A257014 A237335 * A283527 A190294 A124047

Adjacent sequences: A206407 A206408 A206409 * A206411 A206412 A206413

Keyword

nonn

Author

R. H. Hardin, Feb 07 2012

Status

approved