A248458 Number of length n+2 0..5 arrays with no three consecutive terms having the sum of any two elements equal to twice the third

174, 862, 4272, 21182, 105026, 520788, 2582406, 12805334, 63497776, 314866606, 1561330890, 7742183252, 38391228334, 190370917646, 943993962960, 4680991358518, 23211674211122, 115099939580084, 570747116572614

Offset

1,1

Comments

Column 5 of A248461

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +10*a(n-2) +11*a(n-3) -32*a(n-4) -119*a(n-5) -139*a(n-6) -26*a(n-7) +126*a(n-8) +130*a(n-9) +28*a(n-10) -12*a(n-11) -4*a(n-12)

Example

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

Crossrefs

Sequence in context: A077395 A185534 A185526 * A053173 A185525 A224433

Adjacent sequences: A248455 A248456 A248457 * A248459 A248460 A248461

Keyword

nonn

Author

R. H. Hardin, Oct 06 2014

Status

approved