A205833 Number of (n+1)X6 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two

6132, 122526, 2531223, 52826862, 1105752330, 23163320754, 485313697782, 10168541874792, 213057191546673, 4464093891685218, 93534131935237503, 1959777527759278002, 41062309396848183363, 860359480739604665088

Offset

1,1

Comments

Column 5 of A205836

Links

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

Formula

Empirical: a(n) = 50*a(n-1) -967*a(n-2) +9966*a(n-3) -61665*a(n-4) +238876*a(n-5) -566620*a(n-6) +685346*a(n-7) +102414*a(n-8) -1329090*a(n-9) -88722*a(n-10) +6610223*a(n-11) -14921326*a(n-12) +15135867*a(n-13) -2541029*a(n-14) -13928242*a(n-15) +20602103*a(n-16) -14996664*a(n-17) +5587268*a(n-18) +151004*a(n-19) -1261871*a(n-20) +642104*a(n-21) -175642*a(n-22) +40087*a(n-23) +7838*a(n-24) -9227*a(n-25) +687*a(n-26) -82*a(n-27) -64*a(n-28) +3*a(n-29) -a(n-30)

Example

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

Crossrefs

Sequence in context: A114131 A144491 A184501 * A152388 A251787 A203982

Adjacent sequences: A205830 A205831 A205832 * A205834 A205835 A205836

Keyword

nonn

Author

R. H. Hardin Feb 01 2012

Status

approved