A245992 Number of length n+2 0..5 arrays with no pair in any consecutive three terms totalling exactly 5

126, 534, 2262, 9582, 40590, 171942, 728358, 3085374, 13069854, 55364790, 234529014, 993480846, 4208452398, 17827290438, 75517614150, 319897747038, 1355108602302, 5740332156246, 24316437227286, 103006081065390

Offset

1,1

Comments

Column 5 of A245995

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2).

Empirical: G.f.: -6*x*(21+5*x) / ( -1+4*x+x^2 ). - R. J. Mathar, Aug 10 2014

Example

Some solutions for n=6
..3....1....0....1....3....0....0....3....1....1....4....3....1....0....1....4
..3....2....0....3....5....1....0....3....2....0....3....1....2....2....1....4
..0....1....0....1....5....0....2....4....2....3....5....3....1....1....3....2
..4....2....1....1....3....2....1....4....4....3....5....3....2....0....5....0
..4....5....1....5....1....0....2....2....0....0....2....0....0....1....5....1
..5....2....5....2....5....2....2....2....3....0....4....0....4....0....4....3
..5....1....2....5....2....1....4....0....3....0....2....2....2....3....4....1
..1....2....2....5....2....2....4....2....0....1....0....4....4....0....2....0

Crossrefs

Sequence in context: A154039 A202601 A202594 * A267566 A165023 A186825

Adjacent sequences: A245989 A245990 A245991 * A245993 A245994 A245995

Keyword

nonn

Author

R. H. Hardin, Aug 09 2014

Status

approved