A206631 Number of (n+1) X 5 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order.

9729, 2309200, 548812835, 130424683977, 30995204476194, 7365962082764193, 1750509332449744133, 416005797001053603530, 98863125127708691660391, 23494666613322778190102135, 5583470667743721282474810860

Offset

1,1

Comments

Column 4 of A206635.

Links

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

Formula

Empirical: a(n) = 200*a(n-1) +8019*a(n-2) +212850*a(n-3) +1791825*a(n-4) +10193932*a(n-5) -153523984*a(n-6) +1400513402*a(n-7) -14595701184*a(n-8) +63361541608*a(n-9) -318507890248*a(n-10) +1072398618504*a(n-11) -2729587607696*a(n-12) +9386032798640*a(n-13) -19591166905600*a(n-14) +30705316657664*a(n-15) -71422982097664*a(n-16) +82765088625152*a(n-17) -56333612907520*a(n-18) +125995858063360*a(n-19) -11670533963776*a(n-20) -83402072440832*a(n-21) -88610306424832*a(n-22) -11808913489920*a(n-23) -14131206291456*a(n-24) -21679552069632*a(n-25) -14978761359360*a(n-26) -2076969009152*a(n-27) -270582939648*a(n-28) -401042571264*a(n-29) -173946175488*a(n-30).

Example

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

Crossrefs

Cf. A206635.

Sequence in context: A234819 A236795 A061659 * A031860 A023687 A204286

Adjacent sequences: A206628 A206629 A206630 * A206632 A206633 A206634

Keyword

nonn

Author

R. H. Hardin, Feb 10 2012

Status

approved