A246473 Number of length n+3 0..2 arrays with no pair in any consecutive four terms totalling exactly 2.

10, 14, 20, 28, 38, 52, 72, 100, 138, 190, 262, 362, 500, 690, 952, 1314, 1814, 2504, 3456, 4770, 6584, 9088, 12544, 17314, 23898, 32986, 45530, 62844, 86742, 119728, 165258, 228102, 314844, 434572, 599830, 827932, 1142776, 1577348, 2177178

Offset

1,1

Comments

Column 2 of A246479.

Links

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

Formula

Empirical: a(n) = a(n-1) + a(n-4).

Empirical g.f.: 2*x*(5 + 2*x + 3*x^2 + 4*x^3) / (1 - x - x^4). - Colin Barker, Mar 19 2018

Example

Some solutions for n=6:
..2....0....2....2....1....0....1....0....2....1....2....1....0....0....0....1
..2....0....2....2....0....0....2....0....2....0....1....2....0....1....0....2
..2....0....1....2....0....0....2....1....2....0....2....2....0....0....0....2
..2....0....2....2....0....1....2....0....1....0....2....2....1....0....0....2
..2....0....2....2....0....0....2....0....2....0....2....1....0....0....0....2
..2....0....2....2....0....0....1....0....2....1....2....2....0....0....0....2
..2....0....2....2....0....0....2....0....2....0....2....2....0....0....0....2
..1....0....2....2....1....0....2....0....2....0....1....2....1....1....0....2
..2....0....2....1....0....0....2....0....1....0....2....1....0....0....1....2

Crossrefs

Cf. A246479.

Sequence in context: A245729 A031274 A272375 * A063920 A269703 A057487

Adjacent sequences: A246470 A246471 A246472 * A246474 A246475 A246476

Keyword

nonn

Author

R. H. Hardin, Aug 27 2014

Status

approved