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A268322
Number of length-(n+1) 0..3 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero.
1
2, 4, 11, 32, 102, 337, 1148, 3984, 14030, 49973, 179735, 652010, 2383857, 8779485, 32555471, 121497802, 456178652, 1722502343, 6538543106, 24942393310, 95581407132, 367817900179, 1420912978925, 5508514801624, 21423891255215
OFFSET
1,1
COMMENTS
Column 3 of A268327.
LINKS
FORMULA
Empirical: a(n) = 15*a(n-1) -83*a(n-2) +181*a(n-3) +20*a(n-4) -632*a(n-5) +445*a(n-6) +849*a(n-7) -637*a(n-8) -673*a(n-9) +208*a(n-10) +260*a(n-11) +48*a(n-12)
EXAMPLE
Some solutions for n=10
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....0....0....1....1....1....1....1....0....1....1....1....0....0....0
..2....0....0....0....0....2....2....2....0....1....2....2....2....1....0....1
..1....1....1....0....2....3....1....1....0....2....1....0....1....2....1....1
..3....2....2....1....1....2....0....0....0....3....3....0....2....0....1....1
..2....1....0....0....2....0....3....2....1....1....0....2....0....2....2....1
..3....2....3....2....0....1....2....3....0....0....0....1....1....3....0....1
..0....3....0....3....2....0....0....0....1....1....1....2....0....2....1....2
..0....0....0....1....1....3....1....1....1....2....1....0....1....1....1....3
..0....0....0....3....2....0....3....2....0....0....0....3....0....2....0....0
..1....1....0....2....0....0....2....1....2....0....3....1....1....0....0....0
CROSSREFS
Cf. A268327.
Sequence in context: A135339 A148170 A156043 * A375641 A148171 A318644
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 01 2016
STATUS
approved