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A268323
Number of length-(n+1) 0..4 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, 33, 113, 418, 1644, 6729, 28306, 121290, 526528, 2307684, 10189912, 45272176, 202209217, 907511800, 4091094290, 18521091171, 84191453893, 384234672892, 1760416403153, 8096423923987, 37376700482989, 173184754445281
OFFSET
1,1
COMMENTS
Column 4 of A268327.
LINKS
FORMULA
Empirical: a(n) = 30*a(n-1) -383*a(n-2) +2665*a(n-3) -10530*a(n-4) +20413*a(n-5) +1810*a(n-6) -87142*a(n-7) +111699*a(n-8) +116304*a(n-9) -292159*a(n-10) -83751*a(n-11) +371556*a(n-12) +93673*a(n-13) -257980*a(n-14) -122812*a(n-15) +60076*a(n-16) +59180*a(n-17) +15912*a(n-18) +1440*a(n-19)
EXAMPLE
Some solutions for n=10
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....0....1....1....1....1....0....1....0....0....1....0....1....1
..2....0....2....1....2....0....0....0....0....0....0....1....0....0....2....2
..0....2....0....0....1....2....0....0....1....2....1....2....1....1....0....0
..1....3....0....1....3....3....2....2....2....3....1....3....2....1....1....0
..0....2....3....2....2....2....3....1....1....4....1....1....0....2....0....0
..3....4....0....0....3....4....0....3....2....2....2....2....1....2....3....3
..4....0....3....2....2....0....0....1....3....0....1....1....2....3....1....1
..0....2....0....1....1....1....0....0....4....3....1....0....3....4....0....4
..1....1....0....1....4....4....4....0....0....1....2....1....4....3....4....0
..4....0....4....0....3....3....2....4....4....0....0....2....3....4....0....3
CROSSREFS
Cf. A268327.
Sequence in context: A249945 A208799 A340329 * A268324 A268325 A268326
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 01 2016
STATUS
approved