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A268262
Number of length-(3+1) 0..n arrays with new repeated values introduced in sequential order starting with zero.
1
9, 42, 143, 378, 837, 1634, 2907, 4818, 7553, 11322, 16359, 22922, 31293, 41778, 54707, 70434, 89337, 111818, 138303, 169242, 205109, 246402, 293643, 347378, 408177, 476634, 553367, 639018, 734253, 839762, 956259, 1084482, 1225193
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = n^4 + n^3 + 3*n^2 + 2*n + 2.
Conjectures from Colin Barker, Jan 13 2019: (Start)
G.f.: x*(9 - 3*x + 23*x^2 - 7*x^3 + 2*x^4) / (1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>5.
(End)
EXAMPLE
Some solutions for n=8:
..0....2....4....3....2....2....5....1....7....2....4....8....4....2....4....7
..2....4....0....6....4....1....0....6....0....8....1....3....2....4....1....6
..8....6....0....8....0....5....0....4....3....0....6....7....7....0....3....2
..5....7....2....4....3....1....4....5....1....1....8....0....4....4....8....7
CROSSREFS
Row 3 of A268261.
Sequence in context: A292481 A051923 A180670 * A293101 A084899 A268622
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 29 2016
STATUS
approved