A268258 Number of length-(n+1) 0..5 arrays with new repeated values introduced in sequential order starting with zero.

31, 161, 837, 4357, 22710, 118530, 619490, 3242265, 16993552, 89197862, 468891563, 2468601733, 13016765331, 68745010766, 363645146551, 1926748983131, 10225750976768, 54362543336048, 289501143028324, 1544393456553619

Offset

1,1

Comments

Column 5 of A268261.

Links

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

Formula

Empirical: a(n) = 31*a(n-1) -390*a(n-2) +2490*a(n-3) -7960*a(n-4) +8610*a(n-5) +11775*a(n-6) -18175*a(n-7) -22024*a(n-8) -7236*a(n-9) -720*a(n-10)

Example

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

Crossrefs

Cf. A268261.

Sequence in context: A157373 A058285 A372931 * A142306 A296114 A184497

Adjacent sequences: A268255 A268256 A268257 * A268259 A268260 A268261

Keyword

nonn

Author

R. H. Hardin, Jan 29 2016

Status

approved